Answer:
[tex]y=\frac{3}{4} x-3[/tex]
Step-by-step 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.
[tex]y-y_0=m(x-x_0)\\0-(-3)=m(4-0)\\3=4m\\m=\frac{3}{4} \\[/tex]
[tex]y-y_0=m(x-x_0)\\y-(-3)=\frac{3}{4} (x-0)\\y+3=\frac{3}{4}x\\y=\frac{3}{4}x-3[/tex]
