Question

What is the slope of the line 5x - 2y = -10?

Answer 1

Do you know how to write 5x - 2y = -10 in y = mx + b form?

Answer 2

no

Answer 3

Take 5x - 2y = -10 and isolate the y term on the left.

So, 5x - 5x - 2y = -10 -5x
I added -5x to both sides.

Your turn: Simplify: 5x - 5x - 2y = -10 -5x.

Answer 4

x- 2y = -5x

Answer 5

(5x - 5x) - 2y = -10 -5x.

Try again.

Answer 6

-2y = -10 -5x

Answer 7

Good.
Now,
divide all terms of both sides of the equation by -2.

-2y = -10 -5x

I do it with reciprocals:

(-1/2) * (-2y) = (-1/2)*(-10 - 5x)

You may prefer a different but equivalent approach.

Your turn: What is -2y = -10 -5x divided by -2?

Answer 8

y = 5 -5x

Answer 9

All terms of -2y = -10 -5x
have to be divided by -2.
I agree with the y = 5 part but the -5x also have to be divided by -2.

So, what is -5x divided by -2? Post and we'll compare notes.

Answer 10

0? so x = 0

Answer 11

no 2.5

Answer 12

x=2.5

Answer 13

You're jumping ahead. We need to move step by step right now.

-5x divided by -2 = (5/2)x

So, now we have:

y = 5 +(5/2) x

which is y = (5/2) x + 5.

Okay,
Look at the slope-intercept form: y = mx + b
and pick out what has to be to slope of y = (5/2) x + 5.

Answer 14

5 over 2

Answer 15

Yes. That means that every time x moves up by 2, the corrresponding value of y moves up by 5.

Answer 16

okay thanks

Answer 17

Glad to help.