Question

Find the equation of a line that goes through the point ( - 3, - 1 ) and is perpendicular to the line: y = - 1 / 4x - 1.Select one:a.y = - 4x + 11b.y = 4x + 1c.y = 4x + 11d.y = - 1 / 4x + 20

Answer 1

The slopes of two perpendicular lines are negative reciprocals of each other; hence:

Given:

• Point = ( - 3, - 1)

,

• m = 4

the equation of a line is given by:

$y=mx+b$

then, to find b:

$\begin{gathered} -1=4(-3)+b \\ b=-1+12 \\ b=11 \end{gathered}$

ANSWER

c.

y = 4x + 11