Question

Write an equation perpendicular to the line y=1/4x -9 and passes through (1,1)

Answer 1

Hey there! :)

Perpendicular to y = 1/4x - 9 ; passes through (1, 1)

Using y=mx+b, we can find the slope! 1/4 is in the "m" spot from slope-intercept form, so we know that 1/4 is our slope.

However, all equations perpendicular to a line must have a negative reciprocal of the slope. Keep in mind that a negative reciprocal is simply a number that is flipped and is either given a negative or gets a negative removed.

1/4 now turns into -4, thus giving us a new slope of -4.

Now, using this equation y-y₁=m(x-x₁)   , let's plug & chug! Note : use (1, 1) as your x/y & -4 as your slope.

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

Simplify.

y - 1 = -4x + 4

~Hope I helped! :)

Answer 2

First you have to change the x value to 4x because for it to be perpendicular it has to be opposite slope so the equation is y=4x-9