4.
The data in the table are linear. Use the table to find the slope.
TABLE:
x: 2 4 6 8
y: 1 -2 -5 -8
3/2
-3/2
-2/3
2/3
7.
Find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6). (1 point)
m = 1
m = 2
m = –2
m = 1/2
8.
Find the slope of a line that is perpendicular to the line containing the points (–2, –1) and (2, –3). (1 point)
m = –2
m = 2
m = -1/2
m = –1
My answers:
4. -2/3
7. m = –2
8. m = –1
#4. Note that as x increases by 2, y decreases by 3
Since slope is (y-change)/x-change,
slope = -3/2
#7. Change in y: 2
change in x: -1
slope: -2
#8: slopes of perpendicular lines are negative reciprocals.
slope of line with points: -1/2
slope of ┴: 2
oh okay.......uhg i am so bad at these!
finally someone who doesent cus out miss sue
To find the slope in question 4, you can use the formula: slope = (change in y) / (change in x).
First, let's calculate the change in y. We subtract the y-values of two points in the table:
-2 - 1 = -3
Next, let's calculate the change in x. We subtract the x-values of the same two points:
4 - 2 = 2
Now, we can find the slope by dividing the change in y by the change in x:
slope = -3/2
Therefore, the slope is -3/2.
For question 7, we want to find the slope of a line that is parallel to the line passing through the points (3, 4) and (2, 6).
To determine the slope, we can use the formula: slope = (change in y) / (change in x).
First, let's calculate the change in y. We subtract the y-values of the two points:
6 - 4 = 2
Next, let's calculate the change in x. We subtract the x-values of the same two points:
2 - 3 = -1
Now, we can find the slope by dividing the change in y by the change in x:
slope = 2 / -1
Therefore, the slope of the line passing through the points (3, 4) and (2, 6) is -2.
Since we are looking for a line that is parallel to this line, the slope of the parallel line will also be -2.
Hence, the answer is m = -2.
In question 8, we need to find the slope of a line that is perpendicular to the line passing through the points (-2, -1) and (2, -3).
To determine the slope, we can again use the formula: slope = (change in y) / (change in x).
First, let's calculate the change in y. We subtract the y-values of the two points:
-3 - (-1) = -2
Next, let's calculate the change in x. We subtract the x-values of the same two points:
2 - (-2) = 4
Now, we can find the slope by dividing the change in y by the change in x:
slope = -2 / 4
Therefore, the slope of the line passing through the points (-2, -1) and (2, -3) is -1/2.
Since we are looking for a line perpendicular to this line, the perpendicular line will have a slope that is the negative reciprocal of -1/2.
The negative reciprocal of -1/2 is 2.
Hence, the answer is m = 2.