160k views
5 votes
Help please! Identify an equation in point slope form for the line perpendicular to Y =-4x + 8 that passes through (-2, 7)

Help please! Identify an equation in point slope form for the line perpendicular to-example-1

1 Answer

0 votes

Answer:

D.
y-7=(1)/(4)(x+2)

Explanation:

The point-slope form of a line is given by:


y-y_1=m(x-x_1)

The line given to us has equation;
y=-4x+8.

The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.

Our slope of interest is therefore;
m=(1)/(4)

Since the point goes through (-2,7), we have
x_1=-2,y_1=7.

We plug in the slope and the point into the point-slope formula to obain;


y-7=(1)/(4)(x--2)

The required equation is:


y-7=(1)/(4)(x+2)

User Gergo
by
7.0k points

No related questions found