232k views
0 votes
A line passes through the point (2,-2) and is parallel to the line y = 3x + 4. What is its equation?

3 points
y = 3x - 8
8x + 3y = 23
5x + y = 23
y = 8x - 3
Other:

User Nitsas
by
7.8k points

1 Answer

3 votes

Answer:

y = 3x - 8

Explanation:

Parallel lines have the same slope, while perpendicular lines have negative reciprocal slopes

In order to find a line parallel to y = 3x + 4, we will need to use the same slope, 3.

We can use the point-slope formula y - y₁ = m(x - x₁) where we have our (x₁, y₁) point (2, -2)

Now we just need to plug in our values to solve for the equation of a line

  • y - (-2) = 3(x - (2))

Distributing the negative to the -2 and the 3 to the (x - 2) we get:

  • y + 2 = 3x - 6

Now subtracting 2 from both sides we get

  • y = 3x - 8

Now since this equation is in the form y = mx + b, nothing further needs to be done and this is the parallel line to the line y = 3x + 4

User Prasanth Louis
by
8.7k 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