Question

Recall that the standard form of a linear equation is Ax+By=C. Rewrite this equation in slope intercept form.

Answer 1

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

y = 6/5 x + 9/5

Explanation:

Ax + By = C Subtract Ax from both sides

Ax - Ax + By = -AX + C

By = -AX + C Divide both sides by B

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

-6x + 5y = 9 Add 6x to both sides

-6x + 6x + 5y = 6x + 9

5y = 6x + 9 Divide both sides by 5

y = 6/5 x + 9/5