the line passing through (2,-2) and is parallel to the line whose equation is y=3x + 3

Question

I need the answer.

Answer 1

If the lines are parallel, then the slopes have the same value. Find the slope of the given line.

 

The given line is in the standard form of y = mx + b, where m is the slope. So, the slope is 3.

 

Now we want to create a new line that passes through (2,-2) and has a slope of 3. This should ring a bell in your mind that we want to use the point slope form.

 

(y - y₁) = m * (x - x₁)

 

Plug our slope and point in and we get

 

(y - (-2)) = 3 * (x - 2)

y + 2 = 3x -6

y = 3x - 8

 

I hope this helped. Please ask any questions if you have them.