40.1k views
0 votes
What is the equation of the line that passes through the point (-4,4) and has a
slope of -3

User Amityo
by
8.7k points

1 Answer

6 votes

Answer: y-4=-3(x+4) or y=-3x-8

Explanation:

To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).

y-4=-3(x-(-4)) [multiply]

y-4=-3(x+4)

Another equation could be slope-intercept form. It is y=mx+b.

y-4=-3(x+4) [distribute]

y-4=-3x-12 [add both sides by 4]

y=-3x-8

Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).

User Mxlhz
by
8.1k 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