Question

What is the equation of the line that passes through the point 9-1,4) and is perpendicular to the equation of the graph of y=4x-3?

Answer 1

perpendicular of y=mx+b means its slope is -1/m

Answer 2

Sorry the 9 is supposed to be an open parenthesis

Answer 3

so y=-1/4x+b
4=-1/4*-1+b
b=3/4
y=-1/4 x + 3/4

Answer 4

To find the slope of the line perpendicular to y=4x-3 you need to know the slope of this equation.

Let's call it m, so m = 4

The negative reciprocal of this is the slope of the line perpendicular to this equation:
m' = -1/4

So our equation that is perpendicular to your equation is

y' = m'x + b'

Now plug in the point you have to find b'

4=m' (-1) + b'

4=(-1/4)(-1) + b'
b' = 4-1/4

So the equation perpendicular to y=4x -3 is

y' = (-1/4) x + b'

Where b' is given above.

Make sense?

Answer 5

correction

b'=1/4 - 4