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

AY+5=-2/5(X+3)
BY+5=(-2/5)X-3
CY-5= -2/5(X+3
DY-5= -2/5(X-3)

Verified Answer :

ShadowedAce

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

Answer:

1) Option D is the correct answer.

2) Option A is the correct answer.

Step-by-step 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.