The line including (3, 1)and (-2, 3).

Hi Lindsey;

Let's begin by establishing slope.

Slope is change-of-y divided by change-of-x...

m=(y-y

_{1})/(x-x_{1})m=(1-3)/(3--2)

Subtracting a negative number is the same as adding a positive number...

m=(1-3)/(3+2)

m=-2/5

Standard formula...

Ax+By=C, neither A nor B equal zero, A is greater than zero...

slope of such standard formula is...

-(A/B)

-(-2/5)

A negative of a negative is positive...

2/5

2x+5y=C

Let's establish C by plugging-in one point. I randomly select the first, (3, 1)...

[(2)(3)]+[(5)(1)]=C

6+5=11

The equation is now...

**2x+5y=11**

Let's verify by plugging-in the other point, (-2, 3)...

[(2)(-2)]+[(5)(3)]=11

-4+15=11

11=11

It works!!!

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