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:

$y = \frac{4}{5}x - 7$

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

$0 = \frac{4}{5}x - 7\\\\\frac{4x}{5} = 7\\\\4x = 35\\\\x = \frac{35}{4} = 8.75$

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

$y = \frac{4}{5} \times 0 - 7\\\\y = 0 - 7\\\\y = -7$

Thus y - intercept is (0, -7)