Step-by-step explanation:
Hey there!
The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.
Note: use one point formula for finding the equation.
[tex](y - y1) = m(x - x1)[/tex]
Put all values.
[tex](y + 3) = - \frac{ 3}{4} (x - 8)[/tex]
Simplify it.
[tex](y + 3) = - \frac{ 3}{4} x - 8 \times - \frac{3}{4} [/tex]
[tex](y + 3) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6 - 3[/tex]
[tex]y = - \frac{3}{4} x + 3[/tex]
Therefore, the equation is; y = -3/4x+3.
Hope it helps...
