Question

What is the slope of the line whose equation is –48 = 2x − 8y?

someone walk me through please?

Answer 1

@rebeccaxhawaii

Answer 2

Slope intercept form is y = mx+b where m is your slope, so what you want to do is solve for y, can you do that please.

Answer 3

so do I isolate y first?

Answer 4

Yes

Answer 5

I think you have to do something like 8y = 2x-48, right?

Answer 6

It's just algebra, do one step at a time, lets move 2x on the left, to do that we would have to subtract both sides by 2x right? \[-48 \color{red}{-2x}=2x-8y\color{red}{-2x}\] notice I do it to both sides since we're just moving things and not changing the equation itself.

Answer 7

So we get \[-8y = -2x-48\] does that make sense, it's essential you learn this.

Answer 8

Yes, so next do you divide -8 on both sides?

Answer 9

Exactly!

Answer 10

so you get y = 2x+6?

Answer 11

\[y= \frac{ -2x-48 }{ -8 }\] what's -2/8?

Answer 12

-1/4

Answer 13

careful, negative/ negative = positive

Answer 14

So we have \[y=\frac{ 1 }{ 4 }x+6\]

Answer 15

Now it's slope intercept form y = mx+b so our slope will be? :)

Answer 16

1/4!

Answer 17

Good!

Answer 18

Thank you so much :)

Answer 19

Yw :)