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:
[tex]y = \frac{4}{5}x - 7[/tex]
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
[tex]0 = \frac{4}{5}x - 7\\\\\frac{4x}{5} = 7\\\\4x = 35\\\\x = \frac{35}{4} = 8.75[/tex]
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
[tex]y = \frac{4}{5} \times 0 - 7\\\\y = 0 - 7\\\\y = -7[/tex]
Thus y - intercept is (0, -7)
