On a coordinate plane, a horizontal line goes through y = negative 3.
Using the graph, determine the value of the slope.
What is the slope?
What is true about the graph?
The slope is 0 (zero).
The graph shows a horizontal line, which means that the y-coordinate remains constant while the x-coordinate can vary. This results in a slope of 0.
im sorry for using foul language earlier
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the quiestion you just awnsered what is true about the graph
What is true about the graph is that it represents a horizontal line, because it goes through y = -3 and is parallel to the x-axis. This means that the slope of the line is 0.
On a coordinate plane, a line goes through points (4, 24) and (16, 18).
Willa says the slope of the graph is Negative one-third. What error did she make when finding the slope?
The slope is positive instead of negative.
She counted the squares instead of using the scale.
She used the points that are further apart instead of the two consecutive points.
She used StartFraction rise Over run EndFraction when finding slope.
The error that Willa made when finding the slope is that she used the incorrect formula for finding the slope of a line. Willa used the formula rise over run, which calculates the slope between two points that are not necessarily consecutive.
To find the slope of a line between two points, we need to use the formula:
slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)
Using the given points (4, 24) and (16, 18), we can determine the slope as follows:
slope = (18 - 24)/(16 - 4) = -6/12 = -1/2
Therefore, the correct slope of the line is negative one-half, not negative one-third as Willa had calculated using the wrong formula.
Garrett found the slope of the values in the table:
A 2-column table with 3 rows. Column 1 is labeled Years: x with entries 4, 8, 12. Column 2 is labeled Hourly rate: y with entries 12.00, 13.00, 14.00.
1. slope = StartFraction 12 minus 8 Over 14.00 minus 13.00 EndFraction. 2. slope = StartFraction 4 Over 1.00 EndFraction. 3. slope = 4.
Is Garrett’s slope correct? If not, identify his error?
Yes. Garrett found the slope correctly.
No. He should have put the x values in the denominator and the y values in the numerator.
No. He should have gotten a negative answer for slope because the values are decreasing.
No. He should have gotten the answer StartFraction 1 Over 25 EndFraction.
Garrett's slope calculation is not correct. He used the incorrect formula for finding the slope of the values in the table.
To find the slope of the values in the table, we need to use the formula:
slope = (change in y) / (change in x)
Using the given table, we can determine the slope as follows:
slope = (14.00 - 13.00) / (12 - 8) = 1 / 4
Therefore, the correct slope of the values in the table is 1/4. It is not option 2, 3, or 4. Option 1 is incorrect because it multiplied the values instead of dividing.
can you explain the awnser better is it awnser choice 1 awnser choice 2 awnser choice 3 or awnser choice 4
The answer is none of the given answer choices (options 1 to 4) are correct.
Garrett's calculation is incorrect because he used the wrong formula to find the slope of the values in the table. Garrett used:
slope = (12 - 8) / (14.00 - 13.00)
However, the formula to find the slope is:
slope = (change in y) / (change in x)
Where "change in y" is the difference between the y-coordinates (Hourly rate in this case), and "change in x" is the difference between the x-coordinates (Years in this case).
So, the correct slope calculation using the formula is:
slope = (13.00 - 12.00) / (8 - 4)
slope = 1.00 / 4.00
slope = 0.25
Therefore, the correct slope of the values in the table is 0.25 (or 1/4).
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Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of the line from where Corey began walking to where he finished?
-3
-2
2
3
The value of the slope of the line from where Corey began walking to where he finished can be calculated using the formula for slope, which is:
slope = (change in y) / (change in x)
where "change in y" is the difference in the y-coordinates (north-south direction) and "change in x" is the difference in the x-coordinates (east-west direction).
In this case, Corey walked three blocks east (to the right), which means his x-coordinate increased by 3, and six blocks north (up), which means his y-coordinate increased by 6. Therefore, the change in x is 3 and the change in y is 6.
So, the slope of the line is:
slope = (change in y) / (change in x)
slope = 6 / 3
slope = 2
Therefore, the value of the slope of the line from where Corey began walking to where he finished is 2.
you are correct
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A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply.
(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)
The equation of the line passing through point (0, 1) has the form y = mx + b, where "m" is the slope of the line and "b" is the y-intercept.
Since the slope is positive, we know that the line is increasing as we move from left to right, so it will pass through points that are above and to the right of the point (0,1).
To determine which point(s) the line cannot pass through, we need to plug in the x- and y-coordinates of each point into the equation and check if it satisfies the equation.
The equation of the line passing through (0, 1) is y = mx + 1.
For point (12, 3), we have:
3 = m(12) + 1
2 = 12m
m = 1/6
Since the slope is positive, the line can pass through (12, 3).
For point (–2, –5), we have:
-5 = m(-2) + 1
-6 = -2m
m = 3
Since the slope is positive, the line can pass through (–2, –5).
For point (–3, 1), we have:
1 = m(-3) + 1
0 = -3m
m = 0
But, a slope of 0 indicates that the line is horizontal, not increasing as we move from left to right. Therefore, the line cannot pass through (–3, 1).
For point (1, 15), we have:
15 = m(1) + 1
14 = m
Since the slope is positive, the line can pass through (1, 15).
For point (5, –2), we have:
-2 = m(5) + 1
-3 = 5m
m = -3/5
But, a negative slope indicates the line is decreasing as we move to the right. Therefore, the line cannot pass through (5, –2).
Therefore, the point (–3, 1) and (5, –2) could NOT be on the line.
Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.
The line passing through points (4,7) and (4,-3) will be a vertical line, as the x-coordinates (which is 4 in both cases) are the same. Since the x-coordinates are the same, the line will go straight up and down, and not slant towards x-axis or y-axis.
However, if we want to calculate the slope of the line, it is considered undefined in this case. This is because slope = (change in y)/(change in x) and in the given case, the change in x is zero. Division by zero is not defined, so the slope is undefined or it does not exist.
Therefore, the line passing through points (4,7) and (4,-3) is vertical and has undefined slope.
Bianca graphed her weight and height over the past several years.
A graph titled Bianca's Height and Weight has weight in pounds on the x-axis and height in inches on the y-axis. A vertical line is at x = 130.
Which describes the slope of the line on Bianca’s graph?
Its slope is positive.
Its slope is negative.
Its slope is zero.
The vertical line at x = 130 on Bianca's Height and Weight graph represents a constant weight value of 130 pounds. As the weight is constant, and the vertical line is parallel to the y-axis, it means that the height in inches is changing, but not related to the weight. Therefore, the slope of the line parallel to the y-axis is undefined or does not exist, and we cannot state that its slope is positive, negative, or zero.
Hence, the correct answer is: The slope of the line is undefined or does not exist.
The graph shows the cost of a lunch in a school’s cafeteria since school started.
A graph titled Cost of a Lunch in a School's Cafeteria has Days since school started on the x-axis and cost of lunch (dollars) on the y-axis. A horizontal line is at y = 2.5.
Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.
The horizontal line at y = 2.5 on the graph indicates that the cost of a lunch in the school cafeteria has remained constant at $2.5 for all the days since the school started. A horizontal line means that the y-coordinate remains constant, and the x-coordinate can vary. Hence, the slope of the line is zero, which means the cost of a lunch in the school cafeteria is not changing with the days since school started.
Therefore, the correct answer is: The slope of the graph is zero.
A passenger rode the subway 2 blocks west and then 10 blocks south. If all the blocks are the same length, what is the value of the slope of the line from where the passenger began to where he finished?
2
5
10
12
To find the slope of the line from where the passenger began to where he finished, we need to use the formula:
slope = (change in y) / (change in x)
where "change in y" is the difference in the y-coordinates (north-south direction) and "change in x" is the difference in the x-coordinates (east-west direction).
In this case, the passenger rode two blocks west (to the left), so his x-coordinate decreased by 2. He then rode 10 blocks south (down), so his y-coordinate decreased by 10. Therefore, the change in x is -2 (negative because he moved to the left) and the change in y is -10 (negative because he moved down).
So, the slope of the line is:
slope = (change in y) / (change in x)
slope = (-10) / (-2)
slope = 5
Therefore, the value of the slope of the line from where the passenger began to where he finished is 5.
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
2
3
6
9
To find the slope of the line that passes through the two points, we need to use the formula:
slope = (change in y) / (change in x)
where "change in y" is the difference in the y-coordinates of the two points, and "change in x" is the difference in the x-coordinates of the two points.
In this case, the difference in the x-coordinates is 3, and the difference in the y-coordinates is 6. Therefore, the slope of the line is:
slope = (change in y) / (change in x)
slope = 6 / 3
slope = 2
Therefore, the slope of the line that passes through the two points is 2. Hence, the correct answer is 2.
In the table, x represents minutes, and y represents the altitude of an airplane.
Altitude of an Airplane
Minutes, x
Altitude in feet, y
15
22,500
20
20,000
25
17,500
30
15,000
Which statement is correct about the slope of the linear function that the table represents?
The slope is positive because as the minutes decrease, the altitude increases.
The slope is positive because as the minutes increase, the altitude increases.
The slope is negative because as the minutes decrease, the altitude decreases.
The slope is negative because as the minutes increase, the altitude decreases.
To find the slope of the linear function represented by the given table, we need to use the formula:
slope = (change in y) / (change in x)
where "change in y" is the difference in the y-coordinates, and "change in x" is the difference in the x-coordinates.
Looking at the table, we observe that as the minutes increase, the altitude decreases. Therefore, the slope of the linear function is negative. So, the options A and B are not correct.
To determine the value of the slope, we choose any two points from the table and calculate the slope as follows:
slope = (change in y) / (change in x)
slope = (17,500 - 20,000) / (25 - 20)
slope = (-2500) / 5
slope = -500
Therefore, the slope of the linear function represented by the given table is negative because as the minutes increase, the altitude decreases. The correct answer is option D, which states that the slope is negative because as the minutes increase, the altitude decreases.
The speed of an object in space is shown in the graph.
A graph titled Speed of Object has Time in Minutes on the x-axis and Distance in Miles on the y-axis. A line goes through points (0.2, 3) and (0.4, 6).
What is the slope of the line?
10
15
20
25
To find the slope of the line passing through the given points, we can use the formula:
slope = (change in y) / (change in x)
where "change in y" is the difference between the y-coordinates of the two points, and "change in x" is the difference between the x-coordinates of the two points.
In this case, the two points are (0.2, 3) and (0.4, 6). Therefore, the change in x is:
0.4 - 0.2 = 0.2
And the change in y is:
6 - 3 = 3
So the slope of the line is:
slope = (change in y) / (change in x)
slope = 3 / 0.2
slope = 15
Therefore, the slope of the line passing through the points on the graph is 15. Hence, the correct answer is: 15.
What is the slope of the line represented by the points in the table?
mc016-1.jpg
Negative 0.05
Negative .005
0.005
0.05
To find the slope of the line represented by the given points in the table, we can use the formula:
slope = (change in y) / (change in x)
where "change in y" is the difference between the y-coordinates of the two points, and "change in x" is the difference between the x-coordinates of the two points.
Looking at the table, we can see that the difference in y-coordinates is -0.05 - 0.05 = -0.1 (since the first y-coordinate is negative 0.05 and the second y-coordinate is 0.05), and the difference in x-coordinates is 10 - 0 = 10 (since the first x-coordinate is 0 and the second x-coordinate is 10).
Therefore, the slope of the line is:
slope = (change in y) / (change in x)
slope = (-0.1) / 10
slope = -0.01
Therefore, the slope of the line represented by the points in the table is negative 0.01. Hence, the correct answer is: Negative .01.