_{2}-y

_{1})/(x

_{2}-x

_{1})

what steps would I take to solve this and graph it?

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Hi Jen;

-3x+4y=8

To convert this into a graphing equation, we must use the format of...

y=mx+b

m=slope

b=y-intercept

-3x+4y=8

Let's isolate y.

We will begin by adding 3x to both sides...

3x-3x+4y=8+3x

4y=8+3x

or

4y=3x+8

We will now divide both sides by four...

(4y)/4=((3x)/4)+8/4

Simplify...

y=((3/4)(x))+2

The slope of the line is 3/4...

Slope= (y_{2}-y_{1})/(x_{2}-x_{1})

This means that as the y-coordinators change by 3 units, the x=coordinates change by 4.

Let's plug in a few numbers...

x=4-------y=((3/4)(4))+2=3+2=5

x=8-------y=((3/4)(8))+2=6+2=8

x=12----y=((3/4)(12))+2=9+2=11

The y-intercept is the position of y when x=0...

y=(3/4x)+2

y=((3/4)(0))+2

y=2

(0,2) is the y-intercept.

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