Question

Please help:
Write an equation in slope-intercept form for the line that contains (5,3) and is perpendicular to the line -x-4y=4x-y

Answer 1

A parallel line has the same slope, a perpendicular line has a negative inverse slope.

Answer 2

Ok

Answer 3

Solve for y to change the equation to slope intercept form. That will tell you what the slope is.

Answer 4

-5x/3=y?

Answer 5

Yes.

Answer 6

Can you identify the slope?

Answer 7

Is it -5x/3?

Answer 8

No, the slope is a number without a variable.

Answer 9

y=mx+b
m=slope

Answer 10

Ok can you help me find the slope

Answer 11

\(y=-\frac{5}{3}x\)

Answer 12

Yeah that's what I said

Answer 13

The slope is the coefficient of the x term.

Answer 14

Ohh ok

Answer 15

The use the point-slope formula to write the new equation.

Answer 16

So y-3=5/3(x-5)?

Answer 17

Almost. The perpendicular line has a negative inverse slope.

Answer 18

Ok so it's y-3=3/5(x-5)

Answer 19

Yes. The question asks for the slope-intercept form, so solve for y.

Answer 20

So the answer is y=3/5x?

Answer 21

You got it!

Answer 22

Ok thank you :)

Answer 23

You're Welcome.