Question

Find the slope-intercept form of the line that satisfies the given conditions.x-intercept 8, y-intercept −3

Answer 1

Given:

A line satisfies the given conditions.

x-intercept 8, y-intercept −3

The x-intercept is the value of x when y = 0

The y-intercept is the value of y when x = 0

So, the given line passes through the points (8, 0) and (0, -3)

We will find the slope using the following formula:

$slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$

Substitute with points:

$m=\frac{-3-0}{0-8}=\frac{-3}{-8}=\frac{3}{8}$

The slope-intercept form is: y = m * x + b

substitute m = 3/8 and b = -3

So, the answer will be, that the equation of the line is as follows:

$y=\frac{3}{8}x-3$