Question

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

y = -4x - 11

y = -4x - 3

y = 4x + 11

y = 4x + 3

Answer 1

perpendicular means the slope is the negative reciprocal of the other line...

so this lines slope is -1/4x

the negative reciprocal is 4/1 or just 4x

now use point slope again

y - 7 = 4(x -(-1)

y - 7 = 4(x+1)
y - 7 = 4x + 4

y = 4x + 11 :)