What is an equation perpendicular to 4x-2y= -10 that goes through points (4, -1)?

Question

Math test tomorrow any help would be fantastic!

Answer 1

Here is an alternative way to do it which I like and because they don't specify in what form the answer should be.

For a perpendicular line 'reverse' the slope and change 4x - 2y to 2x + 4y and just say 2x + 4y = C

Now put in the point (4,-1) to find C

2(4) + 4(-1) = C

C = 4

2x + 4y = 4

or x + 2y = 2

In slope intercept form that would be y = (-1/2)x + 1

Answer 2

4x - 2y = -10

-2y = -4x - 10

y = 2x + 5, slope is 2

Slope of line perpendicular is -1/2

Use point-slope form

(y - (-1)) = (-1/2)(x - 4)