Question

Y= 4/5 x-7 what are the y and x intercepts?

Answer 1

The x intercept is (8.75, 0) and y - intercept is (0, -7)

Solution:

Given that we have to find the x and y intercepts

Given equation is:

`y = (4)/(5)x - 7`

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

Finding x - intercept:

To find the x-intercept of a given equation, plug in 0 for 'y' and solve for 'x'

Substitute y = 0 in given equation

`0 = (4)/(5)x - 7\\\\(4x)/(5) = 7\\\\4x = 35\\\\x = (35)/(4) = 8.75`

Thus x intercept is (8.75, 0)

Finding y - intercept:

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

Substitute x = 0 in given equation

`y = (4)/(5) * 0 - 7\\\\y = 0 - 7\\\\y = -7`

Thus y - intercept is (0, -7)