Question

Determine the equation of the line tha has an x-intercept of 4 and a y intercept of-3

Answer 1

`y=(3)/(4) x-3`

Explanation:

Given information: x-int: 4 and y-int:-3

x-int point : (4,0).

y-int point : (0,-3).
Plug this information to point-slope form to solve for m and then convert that to slope-intercept form.


`y-y_0=m(x-x_0)\\0-(-3)=m(4-0)\\3=4m\\m=(3)/(4) \\`

`y-y_0=m(x-x_0)\\y-(-3)=(3)/(4) (x-0)\\y+3=(3)/(4)x\\y=(3)/(4)x-3`