4. Which line is perpendicular to y = 2x – 8?

Step-by-step explanation:

If a line is perpendicular to another line , their gradients when multiplied should be equal to -1.

Here the gradient = 2

so if the gradient of the perpendicular is m

m × 2 = -1

so m = -1/2

now lets find a point on y = 2x – 8

suppose if x = 1

y = -8 + 2 = -6

point ---> (1,-6)

now lets find the perpendicular,

(y -y')/ (x-x') = -1/2

[y - (-6)] / (x - 1) = -1/2

2 (y + 6) = -1 (x-1)

2y + 12 = -x+ 1

2y = -x - 11

y = -1/2x -11/2

I hope this helps ya. Fighting!!

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>