Question

Write he standard form of the equation; Through: (-1,5) and (1,2)

Answer 1

Standard form is ax+by=c where a,b, and c are integers and a is usually positive

so
first find slope
get into form y=mx+b where m is slope
so
slope between points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
points (-1,5) and (1,2)
slope is (2-5)/(1-(-1))=-3/(1+1)=-3/2
y=-3/2x+b
find b
sub a point
(1,2)
2=-3/2(1)+b
2=-3/2+b
4/2=-3/2+b
7/2=b

y=-3/2x+7/2
add 3/2 both sides
3/2x+y=7/2
times 2 both sides
3x+2y=7 is standard form