130k views
1 vote
What is the equation in point -slope form of a line that passes through the points (7,-8) and (-4,6)? A. y-6=-2/3(x+4) B. y+6=-14/11(x-4) C. y+6=-2/3(x-4) D. y-6=-14/11(x+4)

1 Answer

0 votes
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:
(7,-8)
(-4,6)
m=(6+8)/(-4-7)=14/-11=-14/11

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=-14/11), and we can choose either of two points. The line will be the same.

(-4,6)
m=-14/11
y-y₀=m(x-x₀)
y-6=-14/11(x+4) ⇒ (point-slope form)

Answer: D. y-6=-14/11(x+4)
User Navie
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories