Question

Because the variable m does not appear in Ax + By = C, equations in this form make it impossible to determine the line's slope m. If the statement does not make sense, then how can you find m and what would it be? Show your work.

Answer 1

Explanation:

The statetement does not make sense because we can rewrite the equation of the line in the slope intercept form

1) add -Ax at both members

Ax + By - Ax = -Ax + C

By = -Ax + C

2) divide both members by B (assuming that its value is not 0)

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

the slope of the line is the therm that multiply x, so

m = -A/B