Question

Math question plz help me

Answer 1

The required equation of the line is:

`y=(1)/(4)x-1`

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=(1)/(4)\left(x-8\right)`

add 1 to both sides

`y-1+1=(1)/(4)\left(x-8\right)+1`

`y=(1)/(4)x-1`