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
−18
negative Start Fraction 1 over 8 End Fraction
18
Start Fraction 1 over 8 End Fraction
8
To find the slope of the line, we need to use the formula:
slope = (change in y)/(change in x)
By looking at the graph, we can see that the change in y is 8 - 7 = 1, and the change in x is 4 - (-4) = 8.
Therefore, the slope of the line is 1/8 or Start Fraction 1 over 8 End Fraction.
To find the slope of a line given its graph, you need to use the formula:
slope = (change in y) / (change in x)
In this question, the two plotted points are (-4, 7) and (4, 8).
To calculate the change in y, subtract the y-coordinate of the second point from the y-coordinate of the first point:
change in y = 8 - 7 = 1
To calculate the change in x, subtract the x-coordinate of the second point from the x-coordinate of the first point:
change in x = 4 - (-4) = 4 + 4 = 8
Now, you can plug these values into the slope formula:
slope = (change in y) / (change in x)
= 1 / 8
So, the slope of the line is 1/8.
Therefore, the correct answer is "Start Fraction 1 over 8 End Fraction".
To find the slope of the line given its graph, we can use the formula:
slope = (change in y) / (change in x)
In this case, we can choose two points on the line, which are (-4, 7) and (4, 8).
The change in y is the difference in the y-coordinates of the two points: 8 - 7 = 1.
The change in x is the difference in the x-coordinates of the two points: 4 - (-4) = 8.
Therefore, the slope of the line is:
slope = (change in y) / (change in x) = 1 / 8.
So, the correct answer is:
slope = 1/8.
Review of the Coordinate Plane & Slope Quick Check
5 of 55 of 5 Items
Question
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
−56
negative Start Fraction 5 over 6 End Fraction
1
1
−5
negative 5
−1
To find the slope of the line, we need to use the formula:
slope = (change in y)/(change in x)
By looking at the graph, we can see that the change in y is -4 - 1 = -5, and the change in x is 2 - (-3) = 5.
Therefore, the slope of the line is -5/5 or negative Start Fraction 1 over 1 End Fraction.
So, the correct answer is -1.