Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 8 comma 0 right parenthesis, left parenthesis 0 comma 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
4
4
2
2
1/2
Start Fraction 1 over 2 End Fraction
−1/2
To find the slope of the line given its graph, we can use the slope formula:
slope = (change in y-coordinate) / (change in x-coordinate)
The two plotted points on the line are (-3, 1) and (2, -4).
Let's calculate the change in y-coordinate:
change in y = -4 - 1
= -5
Now, let's calculate the change in x-coordinate:
change in x = 2 - (-3)
= 2 + 3
= 5
Using the slope formula:
slope = (change in y-coordinate) / (change in x-coordinate)
slope = -5 / 5
slope = -1
So, the slope of the line given its graph is -1.
The slope of a line can be found using the formula:
slope = (change in y-coordinates) / (change in x-coordinates).
Using the coordinates given on the graph, we can determine the change in y-coordinates as 4 - 0 = 4, and the change in x-coordinates as 0 - (-8) = 8.
Therefore, the slope of the line is 4/8, which simplifies to 1/2.
Answer: 1/2
To find the slope of the line given its graph, we can use the slope formula:
slope = (change in y-coordinate) / (change in x-coordinate)
The two plotted points on the line are (-8, 0) and (0, 4).
Let's calculate the change in y-coordinate:
change in y = 4 - 0
= 4
Now, let's calculate the change in x-coordinate:
change in x = 0 - (-8)
= 0 + 8
= 8
Using the slope formula:
slope = (change in y-coordinate) / (change in x-coordinate)
slope = 4 / 8
slope = 1/2
So, the slope of the line given its graph is 1/2.
To find the slope of a line given its graph, we need to recall the slope formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, we have two points: (-8, 0) and (0, 4). Let's use these points to find the slope.
The change in y-coordinates is the difference between the y-coordinates of the two points, which is: 4 - 0 = 4.
The change in x-coordinates is the difference between the x-coordinates of the two points, which is: 0 - (-8) = 8.
Now we can substitute these values into the slope formula:
slope = 4/8
Simplifying the fraction, we can divide both the numerator and the denominator by their greatest common factor. In this case, the largest common factor is 4:
slope = 1/2.
Therefore, the slope of the line is 1/2.
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 4 comma 7 right parenthesis, left parenthesis 4 comma 8 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
1
1
−1/8
negative Start Fraction 1 over 8 End Fraction
8
8
1/8
To find the slope of the line given its graph, we can use the slope formula:
slope = (change in y-coordinate) / (change in x-coordinate)
The two plotted points on the line are (-4, 7) and (4, 8).
Let's calculate the change in y-coordinate:
change in y = 8 - 7
= 1
Now, let's calculate the change in x-coordinate:
change in x = 4 - (-4)
= 4 + 4
= 8
Using the slope formula:
slope = (change in y-coordinate) / (change in x-coordinate)
slope = 1 / 8
So, the slope of the line given its graph is 1/8.
Use the image to answer the question.
A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 3 comma 1 right parenthesis, left parenthesis 2 comma negative 4 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.
Find the slope of the line given its graph.
(1 point)
Responses
−5/6
negative Start Fraction 5 over 6 End Fraction
−1
negative 1
1
1
−5