Ecuation and x,y intercepts

5x-15y=120

Expert Answers

An illustration of the letter 'A' in a speech bubbles

To find the x and y intercepts simply substitute y = 0 and x = 0 resp. Then calculate the value of the variable that is left.

Let's find the y intercept, x = 0

5x - 15y = 120

=> -15y = 120

=> y = 120/-15

=> y = -8

To find the x intercept, y = 0

5x - 15y = 120

=> 5x = 120

=> x = 120/5

=> x = 24

Therefore the x-intercept is (24 , 0) and the y-intercept is (0, -8).

Approved by eNotes Editorial
An illustration of the letter 'A' in a speech bubbles

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

When x = 0, the equation looks like this

-15y = 120

Divide both sides by -15 and you get

y = -8  -- that's the y intercept.

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

5x = 120

x = 24

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial