Question

What is the y-intercept -x+5y=45

Answer 1

To find the y-intercept, we can convert this to slope-intercept form, or replace the value of x with 0 and solve for y.

We'll do both first.

-x + 5y = 45

5y = 45

Divide both sides by 5.

y = 9

Now let's convert it to slope-intercept.

-x + 5y = 45

Add x to both sides.

5y = 45 + x

Divide both sides by 5.

y = 1/5x + 9

y = 9

The y-intercept of our line is 9.