What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equation? OA. y = -x + 14 O B. - r - 15 OD. & 1 + 8

Step-by-step explanation:

Given

Perpendicular to

Required

Determine the line equation

An equation has the form

Where

By comparison with

Because the line is perpendicular to , the following relationship exists

i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through

So, we have:

The line equation is then calculated using:

Where

So, we have:

Add 11 to both sides

The B, C and D parts of your question are not clear.

Apply the same steps used in (a) above and you'll get your answers

by definition every angles supplementary opposite by vertex are congruent