Question

recall that slope is rise over run, or the ratio of change in y to change in x. complete the equation for the slope m of the line using the point from part A and another point on the line (x,y).

Answer 1

The slope of a line is given by the following formula:

$m=\frac{y2-y1}{x2-x1}$

Where (x1, y1) and (x2, y2) are two points where the line passes through.

In this case, we have two points (0, b) and (x, y). By replacing y for y2, b for y1, x for x2 and 0 for x1 into the above formula, we get:

$m=\frac{y-b}{x-0}$