The graph of a linear function is shown on the grid. What is the rate of change of `y` with respect to `x` for this function?
the points on the grid are (-3,3.6) and (5,2)
To find the rate of change of `y` with respect to `x`, we need to calculate the slope of the line passing through the points (-3, 3.6) and (5, 2).
The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
Slope = (y2 - y1) / (x2 - x1)
Substitute the values from the given points into the formula:
Slope = (2 - 3.6) / (5 - (-3))
Slope = -1.6 / 8
Slope = -0.2
Therefore, the rate of change of `y` with respect to `x` for this linear function is -0.2.