Write the slope-intercept form of the equation for the line.
A. y = -5/8x + 1/2
B. y = 8/5x - 1/2
C. y = 5/8x + 1/2
D. y = 8/5x + 1/2

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- anonymous

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- anonymous

This confuses me soooo badly!

- Callisto

Where is the y-int?

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## More answers

- Callisto

Note: To find y-intercept, put x =0 into the equation.
When you get the y-intercept, you can eliminate one of the answers.

- anonymous

1/2?

- anonymous

you can determine slope using a diagram by doing rise over run (i'm not sure if you've ever heard that before) or you can do m=y2-y1/x2-x1

- Callisto

Yes :)
According to the slope-intercept form y=mx+c
c is the y-intercept, m is the slope of the line.
So far, which answer is wrong?

- anonymous

B is wrong?

- anonymous

then use point slope form y – y1 = m(x – x1) and simplify (isolate y) which will leave you with slope intercept form

- anonymous

you can immediately get rid of A because the line isn't negative

- Callisto

Yup! B is wrong.
Next task: find the slope!
To find the slope, we need two points. Can you give me two pairs of coordinates of the points lining on the line?
(PS: you can refer to the figure)

- anonymous

3,4 & 5,8?

- Callisto

Nope :|
Pair of coordinates of a point should be written like this:
(x, y)
Try one first, when x= 4, y=...?

- anonymous

I am lost

- anonymous

It must be C

- anonymous

but unsure of the reasoning

- Callisto

|dw:1353731289465:dw|
Draw a vertical line at x=4, then it cuts at a point, find the y coordinate of that point,

- anonymous

3

- Callisto

Yup, so, one of the points is at (4,3)
Can you pick another one now?

- anonymous

-2,-4?

- Callisto

Nope :|
(x, y), you reversed the two :|

- anonymous

(-4,-2)

- anonymous

I dont know why I am not getting this. I just went back and read the entire chapter on it. It isnt sinking in at all =(

- Callisto

(-4, -2) is right... Actually, which parts are you confusing of?

- anonymous

I'm just not getting where the graph fits in at all

- anonymous

I see how you are trying to break it down, but I dont see how it all connects.

- Callisto

Sorry, I was away for a while.
We know that y=mx+c is the slope intercept form, where m is the slope and c is the y-intercept. First, we find the y-intercept, which is the easiest to find. The only thing we left to do is to find the slope. To find the slope, we need two points: \((x_1, y_1)\) and \((x_2, y_2)\).
Slope = m = \(\frac{y_2 - y_1}{x_2 - x_1}\)
After find the slope and the y-intercept, we plug the values of them into y=mx+c.

- Callisto

The more general way to find the equation is
\[\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\]Then, isolate y to get the slope-intercept form

- anonymous

Okay. Thank you for trying to help.

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