Question

Y = y₁ = m(x − x₁)

Show your work in the space provided below.

1. Find the equation of the line that has a slope of -4 and passes through the point (-3, 7).
Show your work below:

2. Find the equation of the line that passes through the points (4, -3) and (8,9).
Show your work below:

Answer 1

see below

Explanation:

The equation y - y₁ = m(x − x₁)

1. y - 7 = -4(x - -3)

y - 7 = -4(x + 3)

y = -4x - 12 + 7

y = -4x - 5

2. y - y₁ = m(x − x₁)

9 - -3 = m(8 - 4)

12 = 4m

m = 12/4 = 3

y = mx + b

-3 = 3(4) + b

b = - 3 - 12

b = -15

y = 3x - 15