Question

Determine the equation of the line satisfying the following condition.

Containing the point (-1,-5) and parallel to 3x+2y=9

Answer 1

Y=-3/2x-13/2 is definitely the answer

Answer 2

Answer: y=-3/2x-13/2

Explanation:

To find a line parallel to the given line, we know that the two equations must have the same slope. We first want to find the slope of the given equation.

3x+2y=9 [subtract both sides by 3x]

2y=-3x+9 [divide both sides by 2]

y=-3/2x+9/2

Now, we know the slope if -3/2. All we have to do is plug in the given point to find the y-intercept.

-5=-3/2(-1)+b [multiply]

-5=3/2+b [subtract both sides by 3/2]

b=-13/2

Now, we know the equation is y=-3/2x-13/2.