Question

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

Answer 1

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)`