Answer:
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
