Question

What is the equation, in point-slope form, of the line

that is perpendicular to the given line and passes
through the point (-4, -3)?

A: y + 3 = -4(x + 4)
B: y + 3 = -1/4(x+4)
C: y + 3 = 1/4(x + 4)
D: y + 3 = 4(x + 4)

Answer 1

C: y + 3 = 1/4(x + 4)

Explanation:

Perpendicular to a given line means opposite inverse of the slope...

Equation of line is: y = -4x - 3

slope in above equation is -4, perpendicular would be 1/4

Perpendicular equation of a line through P(-4, -3):

y = mx + b

-3 = 1/4(-4) + b

-3 = -1 + b

b = -2

Use perpendicular slope and the b from above to form the perpendicular equation of line:

y = 1/4x - 2

Check:

(-3) = 1/4(-4) - 2

-3 = -1 - 2

-3 = -3