Question

Put the following into slope intercept form -5x + 3y =12

Answer 1

y = (5/3)x + 4

Step-by-step explanation:

To put the equation into the slope-intercept form, we need to solve the equation for y.

So, adding 5x to both sides of the equation:

`\begin{gathered} -5x+3y=12 \\ -5x+3y+5x=12+5x \\ 3y=12+5x \end{gathered}`

Dividing both sides by 3:

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

Finally, the equation into the slope-intercept form is:

`y=(5)/(3)x+4`

Where 5/3 is the slope and 4 is the intercept.