Question

I need the answers to these questions quickly, please:

Choose the equation of the line passing through the point (-4, -2)and parallel to y = 1/4 x + 2.

y = 1/4 x - 1
y = 4x - 1
y = 1/4 x - 3
y = 4x - 3

Choose the equation of the line passing through the point (-1, 7)and perpendicular to y = -1/4x - 5.

y = 4x + 3
y = -4x - 11
y = -4x - 3
y = 4x + 11

Answer 1

y= 1/4 x for the first one
y=4x +11 for the second one

Answer 2

y = 1/4 x? That isn't one of the answers on it

Answer 3

y=1/4 x -1
Since it has the same slope and it passes thru the given point.

Answer 4

Okay, thanks ^_^

Answer 5

@eliassaab please explain how did you get the answer

Answer 6

(y-(-2))/(x-(-4)) = 1/4
(y+2)/(x+4) = 1/4
4(y+2) = x+4
4y+8 = x+4
4y = x-4
y = 1/4x-1

parallel lines have the same slope. For perpendicular lines, the product of the slopes is -1, so the slope of the line perpendicular to the 2nd one is 4

For both of these, you use the slope formula to get the equation.

Answer 7

For the second one the product of the slopes must be -1 so the answer is either choice one or choice 4
to pass thru the point, one has to choose 4