Answer: y=3/2x+7
Explanation:
To find the equation of the line that passes through the given point, let's first convert the given equation to slope-intercept form.
3x-2y=2 [subtract both sides by 3x]
-2y=-3x+2 [divide both sides by -2]
y=3/2x-1
Now that we have the equation in slope-intercept form, we know that the slope must stay the same because parallel lines NEVER touch. All we have to do is plug in the given point to find the y-intercept.
-2=3/2(-6)+b [multiply]
-2=-9+b [add both sides by 9]
b=7
Now, we know that the parallel equation is y=3/2x+7.