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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