Determine the equation of the line described put your answer in the slope-intercept form if possible: Through (8,1), parallel to 7x+9y=137

Answer 1

Parallel lines have the same slope. So, first, you want to solve the equation for y to find your slope.

7x + 9y = 137

--7x -7x

9y = -7x + 137

/9 /9 /9

y = -0.778x + 15.222

your slope of your parallel line will also by -0.778. You now need to find the Y intercept.

plug in the given (8,1).

1 = -0.778(8)+ n

1 = 6.222 + n

-6.222 -6.222

-5.222 = n (the y intercept)

so your parallel line equation is y = -0.778x -5.222