Answer:
C
Step-by-step explanation:
To write the equation of line when slope and one point is given
[tex]y2 - y1 = m(x2 - x1)[/tex]
here m = 3/4
(x1,y1) = 3,-2
Substitute all the values in Formula
[tex]y + 2 = \frac{3}{4} (x - 3) \\ y + 2 = \frac{3}{4} x - \frac{9}{4} \\ y = \frac{3}{4} x - \frac{9}{4} - 2 \\ = \frac{3}{4} x - \frac{17}{4} \\ 4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
multiply by 4 on both sides
[tex]4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
