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)

5
5

–5
–5

one-fifth
Image with alt text: one-fifth

negative Start Fraction 1 over 5 End Fraction

1 answer

To find the slope of a line, we can use the formula: slope = (change in y)/(change in x)

Given the points (-5, 2), (0, 3), and (5, 4), we can calculate the change in y and change in x:

Change in y = 4 - 2 = 2
Change in x = 5 - (-5) = 10

Now, we can calculate the slope:
slope = (2)/(10) = 1/5 = one-fifth

Therefore, the slope of the line is one-fifth.