If the equation of a line is written in standard form, Ax + By = C, the slope is -A/B and the y-intercept is C/B. Explain why.

Question

 I need the answer for my cyber class been stuck for hours

Answer 1

The slope intercept form of the equation of a line is: y  = mx + c, m = slope, c = intercept

The equation in standard form is Ax + By = C; divide this by B throughout and rearrange to get y = -A/B x + C/B; now compare with slope-intercept form to identify slope m = -A/B and intercept c = C/B