Consider the following equation. −9x + 27y = −180

Question

Consider the following equation.

−9x + 27y = −180

Use division to write an equation of the form Ax + By = C

 that is equivalent to the one provided.

 

Write the given equation in the form y = mx + b.

Answer 1

-9x + 27y = -180 (every term is evenly divisible by 9)

-x + 3y = -20

in general form Ax + By = C, -A/B is the slope and C/B is the y intercept,

Here A = -1, B = 3 and C = -20

so slope = -(-1)/3 = 1/3

y-intercept = -20/3

in equation y = mx + b, m is slope and b is y intercept, so equation in that form would be:

y = 1/3x - 20/3