What is the equation of the points (-3,2) (2,-1) in standard form?   1.) 5x +3y = 12.) x + 5y = 33.) 3x + 5y = 14.) x + 3y = 5

You can just plug in one of the points to each equation until you get an equality that is true.

I chose to use (-3,2)

1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)

2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)

3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)

So, the correct equation is 3x+5y=1.

Make sense?

The first one is 2/3the second is 1/160the third is 4/125