Question

medal! Write the equation in slope-intercept from. What are the slope and y intercept?
-6x+3y=12

Answer 1

-6x+3y=12 ---isolate for y
3y=12+6x ----divide both sides by 3
y=(12+6x)/3
y=4+2x or y=2x+4

The slope-intercept form follows the format: y=mx+b, where m is your slope and b is your y-intercept. Therefore in y=2x+4, your slope is 2 and your y-intercept is 4.

Answer 2

Slope defines how steep the line is running. The y-intercept is the value of y when x=0.

Answer 3

Thanks so much! could you help me with another question?

Answer 4

Sure, post it below and I'll give it a try.

Answer 5

what is an equation of the line, in point slope from, that passes through the given point and has the giveslope?
point (9,3) slope 4/9

Answer 6

*given

Answer 7

First, you need to calculate slope through the equation m=(y2-y1)/(x2-x1)
Where y2 is the y-value of the second point, y1 is the y-value of the first point, and so on. Try that out first.

Answer 8

dang it i broke my calculator

Answer 9

so m=(0,3)/(0,9)

Answer 10

?

Answer 11

Oh, I'm sorry. I thought you had two points given to you. If you have the slope, then it's even easier. Use the format y=mx+b, substitute the slope (4/9) for m, and plug in the given point into the y and x of the equation. Solve for b.

Answer 12

4/9=9+3?

Answer 13

y=mx+b
y=(4/9)x+b
9=(4/9)(3)+b
9-(4/9)(3)=b

Solve for b. Once you have it, follow the format y=mx+b, and replace m with 4/9, and b with the number you found. And voila, you have the equation. (:

Answer 14

thanks!

Answer 15

wait.... can you show me how to solve for b... sorry im so bad at math

Answer 16

^Right up there. Rearrange the equation so that b is isolated on one side of the equal sign, and you get: 9-(4/9)(3)=b. Then just plug the left side into a calculator.

Answer 17

ohhh thank you very much

Answer 18

No problem (:

Answer 19

So it gives me multiple choices though and it doesnt look like any of them

Answer 20

Im guessing it would be y-9=4/9(x+4?

Answer 21

What are the options?

Answer 22

)*

Answer 23

the options are:
a. y-9=4/9(x+3)
b. y-9=4/9(x-3)
y+3=4/9(x-9)
y-3=4/9(x-9)

Answer 24

In point-slope form, the format is y=m(x-p)+q, where m is the slope and p,q is the point. The answer would be d, because p=9, and q=3 when you move it to the other side of the equal sign.

Answer 25

Oh, now i understand.. Thank you i appreciate it

Answer 26

I am going to post another question in a new thing if you dont mind looking at it.