Question

Write the equation of the line that passes through the following points.
(3, 1) (1,7)

Answer 1

y=-3x+10

Explanation:

Slope formula y2-y1/x2-x1

7-1/1-3

simplify

6/-2

simplify

-3

now plug -3 into y=mx+b

y=-3(x)+b

choose any point and plug it into the equation, I am using (3,1)

1=-3(3)+b

simplify

1=-9+b

add 9 to both sides

b=10

plug into slope-intercept form

y=-3x+10