Aline passes through the points (-1, 7) and (2, 10). write the equation of the line in standard form.

Standard form is ax+by=c
where a is a whole number and b is an integer
or you can do y=mx+b

so
use point slope form
y-y1=m(x-x1)
for a point (x1,y1) and slope m
sloe for points (x1,y1) and (x2,y2) is
(y1-y2)/(x1-x2)
(-1,7) and (2,10)
slope=(7-10)/(-1-3)=-3/-4=3/4
a point is (2,10)
x1=2
y1=10
y-10=3/4(x-2)
distribute
y-10=3/4x-1.5
add 10 to both sides
y=3/4x+8.5
minus 3/4x both sides
-3/4x+y=8.5
times -4 both sides
3x-4y=-34

3x-4y=-34
or in other form
y=3/4x-3/2

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