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.
To find the slope of a line passing through two points (x1, y1) and (x2, y2), you can use the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (-5, 2) and (0, 3), we can calculate the slope:
m = (3 - 2) / (0 - (-5))
= 1 / 5
= 1/5
Therefore, the slope of the line passing through the points (-5, 2), (0, 3), and (5, 4) is 1/5.