Question

1. Write an equation in point-slope form for the line through the given point with the given slope. (5,2); m=3

A. Y+2=3(X-5)
B.Y+2= 3X-5
C.Y-2=3(X+5)
D.Y-2=3(X-5)

2.(-3, -5);m= -2/5
A. Y+5=-2/5(X+3)
B. Y+5=(-2/5)X-3
C. Y-5= -2/5(X+3
D. Y-5= -2/5(X-3)

Answer 1

1) d , y-2=3(x-5)
2) d , y-5=-2/5(x-3)

Answer 2

1) Option D is the correct answer.

2) Option A is the correct answer.

Explanation:

1)Point slope form of line is given by

y-y₁ = m(x-x₁)

(x₁,y₁) = (5,2) and m = 3

Substituting

y-2 = 3(x-5)

Option D is the correct answer.

2)Point slope form of line is given by

y-y₁ = m(x-x₁)

(x₁,y₁) = (-3, -5) and m = -2/5

Substituting

y-(-5) = -2/5(x-(-3))

y+5 = -2/5(x+3)

Option A is the correct answer.