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)

, -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)

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.

-1

step-by-step explanation: