Find an equation of a line parallel to 6x-8y=9 and contains (-6,1) . express the equation in standard form.

The answer would be 3x + 4y = -14

Step-by-step explanation:

First we need to find the slope of the original line. We can do this by solving for y.

6x + 8y = 9

8y = -6x + 9

y = -3/4x + 9/8

Now we can use that slope (-3/4) and the point in point-slope form to get the answer. You'll need to solve for the constant.

y - y1 = m(x - x1)

y - 1 = -3/4(x + 6)

y - 1 = -3/4x - 9/2

3/4x + y - 1 = -9/2

3/4x + y = -7/2

3x + 4y = -14

for the points! : )