Question

Which of the following equations is parallel to y = 3x + 6 and contains the point (3,2)?

Answer 1

`y = 3x -7`

Explanation:

The slope of the line will be the same since it's paralel, thus we have the equation `y = 3x + c`, if this line passes through `3,2` we can substitute that point and find `c`, so `2 = 3(3) + c -> 2 - 9 = c -> c = -7`

Thus the equation of the line is `y = 3x -7`

graph{y=3x+6 [-10, 10, -5, 5]}
graph{y=3x-7 [-10, 10, -5, 5]}