Question

write the equation in slope-intercept form. what are the slope and y-intercept -3x - 10y = 7

Answer 1

Slope intercept form is y=mx+b.

Answer 2

So you need to put that in that form.

Answer 3

(I suggest first moving y to one side, and making the coefficient 1.)

Answer 4

I took algebra 2 years ago, so could you walk me through this? I don't remember how to change equations like that :L

Answer 5

Ok, no problem.

Answer 6

So -3x-10y=7.

Answer 7

Then we can add 3x to both sides.

Answer 8

3x-3x-10y=7+3x.

Answer 9

10y=7+3x.

Answer 10

Ok?

Answer 11

I get that you add them to both sides, yeah.

Answer 12

Now we divide both sides by 10.

Answer 13

\[y=\frac{7+3x}{10}.\]

Answer 14

Also, we know that \[\frac{a+b}{n}=\frac{a}{n}+\frac{b}{n}.\]

Answer 15

Do you see where to go next?

Answer 16

Not at all... What are a and b?

Answer 17

That is an example. a and b can be anything.

Answer 18

So can n. (Except for 0.)

Answer 19

So\[\frac{1+1}{2}=\frac{1}{2}+\frac{1}{2}.\]

Answer 20

I am just showing that that rule works.

Answer 21

Just so you see what I see

Answer 22

but what do you plug in for n, a and b out of those numbers..?

Answer 23

y=(7+3x)/10.

Answer 24

So then...

Answer 25

\[\frac{7+3x}{10}=\frac{7}{10}+\frac{3x}{10}.\]

Answer 26

Therefore, we can write that as\[y=\frac{3}{10}x+\frac{7}{10}.\]

Answer 27

And in y=mx+b, m is the slope, and b is the y-intercept.

Answer 28

So it's D?

Answer 29

Yes!

Answer 30

Thanks :D

Answer 31

You are very welcome!