Question

can somebody help me with this? Identify the slope and y-intercept in the following equations. 2x+3y=8

Answer 1

You must first rearrange the function into slope-intercept form;\[y=mx+b\]Can you do that?

Answer 2

37=2x+8?

Answer 3

I mean 3y

Answer 4

You have to get rid of 3 in 3y

Answer 5

solve for y now.

Answer 6

no -2x

Answer 7

signs change

Answer 8

3y=-2x+8

Answer 9

Almost. Except you subtracted 2x from both sides so there is a mistake with one of the signs. Can you see it?

Answer 10

\[y = mx + b\]
\[3y = -2x + 8\]

Answer 11

so 3y= -2x + 8 is right?

Answer 12

Correct. Now how do you solve for y?

Answer 13

am I supposed to get the y by itself?

Answer 14

Yup.

Answer 15

do I need to divide by 3/1

Answer 16

That's right. Divide both sides by 3. What do you get?

Answer 17

I cant figure it out I know it makes 3y = y but I don't know how to divide the other side by 3?

Answer 18

OK. You're correct about the left side. Now, on the right side you have to remember to divide all the terms by 3. The first term is -2x. What do you get when you divide -2 by 3?

Answer 19

-2/3x

Answer 20

Great. I assume you mean\[-\frac{ 2 }{ 3 }x\]The seond term on the right side is 8. What do you get when you divide 8 by 3?

Answer 21

2 2/3

Answer 22

Terrific. Now, to sum up you have\[y=-\frac{ 2 }{ 3 }x + 2\frac{ 2 }{ 3 }\]That's the slope-intercept form. Compare this with\[y=mx+b\]Can you determine the value of m and b?

Answer 23

m is the coefficient of x, and b is the constant on the end.

Answer 24

yes, so the slope is 2/3 and the y intercept is 2 2/3?

Answer 25

Oh, so close. You've made an error with a sign. See it?

Answer 26

slope = -2/3?

Answer 27

Terrific. Great job! Your other questions should proceed in much the same way.

Answer 28

thank you very much!