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

Apr 27, 2017

$y = 3 x - 7$

#### Explanation:

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

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

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