Question
The value in the table represents a linear relationship between x and y
X,-8.5,-6.5,-2.5,-1
Y,-92,-72,-32,-17
What is the rate of change of y with respect to x
X,-8.5,-6.5,-2.5,-1
Y,-92,-72,-32,-17
What is the rate of change of y with respect to x
Answers
GPT 3.5
To find the rate of change of y with respect to x, we can use the formula for the slope of a linear relationship:
Slope = (change in y) / (change in x)
Let's choose two points from the table to calculate the slope. We will use the points (-2.5, -32) and (-1, -17).
Change in x = -1 - (-2.5) = 1.5
Change in y = -17 - (-32) = 15
Slope = (15) / (1.5) = 10
Therefore, the rate of change of y with respect to x is 10.
Slope = (change in y) / (change in x)
Let's choose two points from the table to calculate the slope. We will use the points (-2.5, -32) and (-1, -17).
Change in x = -1 - (-2.5) = 1.5
Change in y = -17 - (-32) = 15
Slope = (15) / (1.5) = 10
Therefore, the rate of change of y with respect to x is 10.