Question

Solve for y.
9x - 3y = -15
y = [?]x + [?]

Answer 1

`\large\boxed{y=3x+5}`

Explanation:

For the following equation:

`9x-3y=-15`

We are required to isolate y on one side, putting the equation into the gradient-intercept form:
`\boxed{y=mx+c}`

Starting off, subtract 9x from both sides:

`9x-9x-3y=-15-9x\\-3y=-15-9x`

Divide both sides by -3:

`(-3y)/(-3)=(-15)/(-3)-(9x)/(-3)\\y=5+3x`

Hence, after rearranging:

`\Large\boxed{\boxed{y=3x+5}}`