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:

`$$slope=m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)$$`

Substitute with points:

`m=(-3-0)/(0-8)=(-3)/(-8)=(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=(3)/(8)x-3`