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

Answer:

See explanation

Step-by-step 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