Question

Determine the intercepts of the line y=8x-18

Answer 1

the y-intercept = -18. the x-intercept = 9/4

Explanation:

TO FIND THE Y-INTERCEPT: because the equation is in slope-intercept form, it's easy to find the y-intercept. When an equation is in slope-intercept form, the y-intercept is always the constant of the equation, or in this case, -18.

TO FIND THE X-INTERCEPT:

1. move the variable(8x) to the left side and change its sign.

-8x+y=-18

2. move the variable(y) to the right side and change its sign.

-8x=-18-y

3. Divide both sides of the equation by -8

x=9/4+1/8y

4. the x-intercept is the constant value: 9/4

SO, THE TWO INTERCEPTS ARE -18 AND 9/4

Answer 2

Because this line is in slope-intercept form, we can immediately tell the y-intercept is equal to -18.

Now, to find the x intercept (there is only one because this is a polynomial of degree one.) we can replace the value of y with 0 and solve for x.

0 = 8x - 18

Add 18 to both sides.

18 = 8x

Divide both sides by 8.

x = 2.25

The x-intercept is 2.25.