Question

Write the equation of the line in standard form. (Hint: Find the equation of the line using
Slope-Intercept form and then manipulate the equation to get the correct form.)

Answer 1

Ok, the first thing to do is to find the y-intercept. Can you tell where that is?

Answer 2

@Teddyiswatshecallsme ?

Answer 3

Is it 0,1?

Answer 4

@JoannaBlackwelder

Answer 5

The y axis the one that goes up and down, so it looks like it crosses at -2 to me.

Answer 6

From that point, find another point on the graph that is easy to see, like 1,1

Answer 7

Count that from 0,-2 you go up 3 and right 1 to get to 1,1

Answer 8

And with the formula y = mx + b where m is the slope and b is the y intercept,

Answer 9

We found our y intercept to be -2 so, that gives us y = mx - 2

Answer 10

Are you following me so far?

Answer 11

Yes.

Answer 12

Ok, cool. Can you tell me what the slope is from what we have done so far?

Answer 13

I cannot. I am a bit confused on how to do the slope.

Answer 14

Ok, no worries. The slope is rise/run or (change in y)/(change in x)

Answer 15

And we found that we go up 3 (change in y) and right 1 (change in x)

Answer 16

So, the slope is 3/1 or 3 :)

Answer 17

Thank you!!! :D

Answer 18

Now how do we put that in standard form?

Answer 19

Well, what we have now is y = 3x - 2, and standard form is ax + by = c

Answer 20

So, we need to put the x term on the other side. Any ideas how to do that?

Answer 21

Nope.

Answer 22

Ok, subtract 3x from both sides of the equation.

Answer 23

Mhmm

Answer 24

To get -3x + y = -2

Answer 25

Okay.

Answer 26

Is that the answer?

Answer 27

Yep :)

Answer 28

Yay :D