The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers.

Question

What is the rate of change of `y` with respect to `x` for this line?
Remember that rate of change is slope.

Answer 1

To find the rate of change of \( y \) with respect to \( x \) (which is the slope of the line), you can use the formula for the slope between two points:

\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points on the line.

1. Identify the coordinates of the two points indicated on the graph. Let's say the points are \((x_1, y_1)\) and \((x_2, y_2)\).

2. Substitute the coordinates of the points into the slope formula.

3. Calculate the result to get the slope.

Since the actual coordinates of the points were not provided in your question, this is the general method to determine the slope (rate of change). If you can provide the specific coordinates, I can calculate the slope for you!