Question

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. What is the rate of change of `y` with respect to `x` for this line?

answer choices -
5/2
-6/5
2/3
-5/6

Answer 1

2/3

The rate of change of `y` with respect to `x` for a line is given by the slope of the line. In this case, the slope can be calculated by finding the change in `y` divided by the change in `x` between the two points shown on the graph.

Using the two points shown on the graph, we can calculate the slope as follows:

((8 - 2)/(6 - 2)) = 6/4 = 3/2

Therefore, the rate of change of `y` with respect to `x` for this line is 3/2.