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)
Answer: B. y+1=6/7(x+3)
