Question

Please help. Explain how.

Answer 1

Answer:

$y = \frac{4}{3} x +1$

Step-by-step explanation:

1: find the perpendicular gradient - this is the negative reciprocal of the original gradient:

$y=\frac{-3}{4}x+ 2 \\y=\frac{4}{3} x+c$

2: Substitute in the coordinate to find the value of c:

$y=\frac{4}{3}x +c\\5 = \frac{4}{3} (3) + c\\5 = 4+c\\c=1$

3: Put it all together:

$y=\frac{4}{3}x+1$