Question

how do I write a equation in standard form for "passes through -2 -1 and 6 -4

Answer 1

are those pairs?

Answer 2

yeah bo they are (-2 ,-1) (6 ,-4)

Answer 3

standard form is Ax+By=C, I like to start with the linear form y=mx+b
First we the slope equations
(-4+1) /(6+2)=-3/8
so now we have y=-3/8+b
we just plug in one of the coords, lets do (-2,-1)
-1=(-3/8)x-2 +b
-1=(-3/4)+b
add 3/4 to both sides
b=1/4
now we have y=(-3/8)x+1/4
now we just rearrange to standard Ax+By=C C is 1/4
add 3/8x to both sides
y+(3/8)x=1/4
now my teachers usually dont like fractions in standard form so lets multiply by 8
8y+3x=2 Ta da!