Question

Math question plz help me

Answer 1

Answer:

The required equation of the line is:

$y=\frac{1}{4}x-1$

Step-by-step explanation:

Given the equation

$y=-4x+3$

comparing the equation with the slope-intercept form

$y=mx+b$

Here,

• m is the slope

• y is the intercept

so the slope of the line is  -4.

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 1/4

Therefore, the point-slope form of the equation of the perpendicular line that also intersects the point (8, 1) is:

$y-y_1=m\left(x-x_1\right)$

$y-1=\frac{1}{4}\left(x-8\right)$

add 1 to both sides

$y-1+1=\frac{1}{4}\left(x-8\right)+1$

$y=\frac{1}{4}x-1$