Question

Find the slope (rate of change) of the line.

A line is graphed on a coordinate plane. The line passes through the points left parenthesis negative 5 comma 2 right parenthesis, left parenthesis 0 comma 3 right parenthesis, and left parenthesis 5 comma 4 right parenthesis.
(1 point)
Responses

5
5

–5
–5

one-fifth
Image with alt text: one-fifth

negative Start Fraction 1 over 5 End Fraction

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the slope of the line passing through the points (-5, 2), (0, 3), and (5, 4), we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

First, we'll select two points to use in the formula. Let's choose (-5, 2) and (0, 3).

m = (3 - 2) / (0 - (-5))
m = 1 / 5
m = 1/5

Therefore, the slope (rate of change) of the line is one-fifth.