Question

The graph shows the distance a car traveled, y, in x hours:

A coordinate plane graph is shown. The x-axis is labeled time in hours, and the y-axis is labeled distance in miles. The line passes through the points 1 comma 35, 2 comma 70, and 3 comma 105.

What is the rise-over-run value for the relationship represented in the graph?

1 over 35
2 over 17
35
40

Answer 1

The correct answer is 35

Answer 2

The rise-over-run value for the relationship is 35.

Explanation:

The graph shows the distance a car traveled 'y' in 'x' hours.

x represents time in hours,

y represents distance in miles.

The line passes through the points (1,35), (2, 70) and (3, 105).

The rise-over-run is the gradient or slope of a line, which measures how steep it is.

Slope of the line passing through (1,35), (2, 70) is,

`m=(y_2-y_1)/(x_2-x_1)\\\\=(70-35)/(2-1)\\\\=(35)/(1)\\\\=35`