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shawnkat
Whenever we have a perpendicular line, the new slope is always going to be the opposite of the reciprocal of the old slope. Therefore, this new slope will be -4. The way to check is to multiply them together, and if you get -1, then you are correct. Now, we will use our points to find b, or the y-intercept. We can do 1 = -4(1) + b. What I did here was plugged in the values from the points you have provided. Now, I have 1 = -4 + b. I add 4 to both sides, and I know b = 5. Therefore, my new equation is y = -4x +5. Hope this helps!
cher

Hey there! :)

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

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!~

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