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
Image with alt text: negative Start Fraction 1 over 5 End Fraction

1 answer

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

slope = (change in y) / (change in x)

First, we can calculate the change in y:
change in y = 4 - 2 = 2

Next, we can calculate the change in x:
change in x = 5 - (-5) = 10

Now we can find the slope:
slope = 2 / 10 = 1/5 = 0.2

Therefore, the slope of the line passing through the given points is 1/5 or 0.2.