Question

Check my answer please!

Find the equation of the line in slope-intercept form that is perpendicular to y=-1/4x+3 and passes through (3/2,5)

answer: y=-4x+3?

Answer 1

Without any calculations, I see you a have an error.

Answer 2

The slopes of perpendicular lines are negative reciprocals, not just reciprocals.
That means the slopes multiply to -1.
If one slope is - 1/4, the slope of a perpendicular must be 4, not -4.

Answer 3

so it's just positive 4 right?

Answer 4

The slope is positive 4, correct.
You need to find the correct b.

Answer 5

The perpendicular line has equation

y = 4x + b

Find the value of b.

Answer 6

so y=4x+11?

Answer 7

No.

Answer 8

How did you get 11?
Can you show me your work?

Answer 9

wait is it -1?

Answer 10

Correct.
If you guess enough answers, sooner or later, you'll guess the correct one.
In a test, though there won't be anyone you can ask all choices who will answer yes or no until you find the right one.
I think it's a good idea to know how to solve it.

Answer 11

This is my work.

5=4(3/2)+b
4x(3/2)=6
and then i forgot what i did after that
THANK YOU! lol

Answer 12

Very good!
This is how it goes:

5=4(3/2)+b
5 = 12/2 + b
5 = 6 + b
-1 = b
b = -1

Now we insert -1 for b, and we get:

y = 4x - 1

Good job!
Sorry for assuming you were guessing.