Question

Rewrite the following equation in slope-intercept form,15x - 3y - 12 = 0

Answer 1

y = 5x - 4

Step-by-step explanation:

To write the equation in the slope-intercept form, we need to solve for y.

So, we need to add 12 to both sides of the equation:

15x - 3y - 12 = 0

15x - 3y - 12 + 12 = 0 + 12

15x - 3y = 12

Then, substracting 15x from both sides:

15x - 3y - 15x = 12 - 15x

-3y = 12 - 15x

Finally, divide both sides by -3:

`\begin{gathered} (-3y)/(-3)=(12-15x)/(-3) \\ y=-4+5x \\ y=5x-4 \end{gathered}`

Therefore, the equation in slope-intercept form is y = 5x - 4