Compute "m" and "b" in terms of A, B, and C:

Question

The equation of the line that passes through the point (-9,8) and is parallel to the line having the equation Ax+By=C (with B ≠ 0) can be written in slope-intercept form as y=mx+b. Compute "m" and "b" in terms of A, B, and C.

 

m=?

b=?

Answer 1

Ax+By = C

 

      By = -Ax+C

 

        y  = (-A/B)x + (C/B)     Slope = -A/B

 

Parallel lines have the same slope.

 

Line through (-9,8) with slope -A/B has equation y - 8 = (-A/B)(x-(-9))

 

                                                                           y = (-A/B)x - 9A/B+8

 

    m = slope = -A/B

 

    b = y-intercept = 8 - 9A/B