Which is an equation in a point -slope form of the line that passes through the points (4,5) and (-3,-1)? a. y-1=6/7(x-3) b. y+1=6/7(x+3) c. y+1=6/5(x+3) d. y+3=7/6(x+1)

Given two points  (x₁,y₁) and (x₂,y₂)the slope passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)

In this case the slope will be:
(4,5)
(-3,-1)
m=(-1-5)/(-3-4)=-6/-7=6/7

point-slope form of a line: we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)

In this case, we know the slope (m=6/7), and we can choose either of two points. The line will be the same.

(-3,-1)
m=6/7
y-y₀=m(x-x₀)
y+1=6/7(x+3)        ⇒ (point-slope form)

  B. y+1=6/7(x+3)

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