Question

Find an equation of the line: through the point (3,2) with a slope of −2. Find an equation of the line: through the points (4,2) and (3,1).

Answer 1

y=-2x+8

y=x-2

Explanation:

y=-2x+b

2=-2(3)+b

2=-6+b

8=b

Plug it into your expression

y=-2x+8

(1-2)=m(3-4)

-1=m(-1)

-1=-m

1=m

Plug it into your expression

y=1x+b

1=1(3)+b

-2=b

Plug it into your expression

y=x-2

Answer 2

See explanation

Explanation:

1) Equation of line through (3, 2) with slope -2.

y = mx + b

2 = -2(3) + b

2 = -6 + b

8 = b

y = -2x + 8

2) Equation of the line through the points (4, 2) and (3, 1)

m = (1 - 2)/(3 - 4) = -1 / -1 = 1

y = mx + b

1 = 1(3) + b

1 = 3 + b

-2 = b

y = x - 2