Question

Which statement is true of the equation below?
y - 6 = -3(x+1)
A. The slope is 3 and the y-intercept is 1
B. The slope is 3 and the y-intercept is -6
C. The slope is -3 and the y-intercept is 1
D. The slope is -3 and the y-intercept is 3

Answer 1

well if you find the equation is slope intercept form you get

y = -3x + 3

and the general form is

y=mx+b

where m is the slop and b is the y-intercept.

Hope this helps!

Answer 2

I have 1 more if you could help me with it?

Answer 3

sure

Answer 4

What are the x- and y-intercepts of the line with equation.
5x - 2y = 8?

Answer 5

an x-intercept is where y = 0 so set y equal to zero and you get

5x = 8

Solve for x and you get your x-intercept and then plug that back in to get your y-value to create your point since you need a point

A y-intercept is the same idea. Set x equal to zero and solve for y

-2y = 8

Solve for y and plug if back in to get your x-value for a point

Answer 6

D.

Answer 7

Thank You hilbertboy96

Answer 8

anytime!

Answer 9

Also robtobey thanks for telling me the answer I got though :D

Answer 10

In a problem like this one, solve for y.

Answer 11

hilbertboy96 i have a question

Answer 12

For that second one i'm a bit confused

Answer 13

by 2nd bit you mean the y intercept or what?

Answer 14

Like both of it I don't really understand it

Answer 15

ok I will demonstrate

The x intercept is when you set y equal to zero

So if we do this we get

\[5x - 2(0) = 8\]
\[5x = 8\]
\[x = \frac{ 5 }{ 8 }\]

But they want a point so a x-value will not finish the question. You need to plug it back in to solve to y to create a point

\[5(\frac{ 5 }{ 8 }) - 2y = 8\]
\[\frac{ 25 }{ 8 } - 2y = 8\]
\[-2y = (8-\frac{ 25 }{ 8 })\]
\[y = \frac{ (8-25/8) }{ -2 }\]

and you get a point with (x, y) that make sense now?

Answer 16

Yes I see know.

Answer 17

so it would be -1?

Answer 18

Wait wait wait...I am stupid xD

Since they are x and y intercepts the other variable is just 0 so your points are

(5/8,0)
(0,-4)

Answer 19

Sorry for that lol

Answer 20

so i would divide 5/8?

Answer 21

no 5/8 is a fraction so leave it. Your points are

\[(\frac{ 5 }{ 8 },0)\]
\[(0,-4)\]

Answer 22

Oh i see now

Answer 23

Yes. Sorry for the whole replugging back in although if you did you should end up with 0 but this assumption is easier

Answer 24

OK thanks :D

Answer 25

Anytime