Question

Write the equation y-4=1/3(x+6) in slope intercept form.

Answer 1

Given the equation:

`y-4=(1)/(3)(x+6)`

to write it in slope intercepept form, we have to solve for y the expression.

In this case, we have the following:

`\begin{gathered} y-4=(1)/(3)(x+6)=(1)/(3)x+(6)/(3)=(1)/(3)x+2 \\ \Rightarrow y=(1)/(3)x+2+4=(1)/(3)x+6 \\ y=(1)/(3)x+6 \end{gathered}`

thus, the equation in slope intercept form i s y = 1/3x+6