Question

Please help. Explain how.

Answer 1

`y = (4)/(3) x +1`

Explanation:

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

`y=(-3)/(4)x+ 2 \\y=(4)/(3) x+c`

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

`y=(4)/(3)x +c\\5 = (4)/(3) (3) + c\\5 = 4+c\\c=1`

3: Put it all together:

`y=(4)/(3)x+1`