Question

Write an equation of a line that passes through the point (3, 2) and is parallel to the line y = 3x − 4.

Answer 1

2 = 3(3) + b

2 = 9 + b

b = -7

y = 3x - 7

Answer 2

y = 3x - 7

Explanation:

Hi! Our task is to find the equation of the line.

So far, we know that the line:

• is parallel to y = 3x - 4 (since two parallel lines have equal slopes, this line has a slope of 3)
• passes through (3,2)

So let's write the equation in Point Slope :

`y-y_1=m(x-x_1)`

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

`y-2=3x-9`

`y=3x-9+2`

`\boxed{y=3x-7}`