Question

Express the given equation in slope intercept form. Simplify your answer.

Answer 1

Given the equation:

`7y-1=-2(4-2x)`

to write in slope intercept form, we have to solve for y. We can do this by first using the distributive property on the right side of the equation to get the following:

`\begin{gathered} 7y-1=-2(4-2x)=-8+4x \\ \Rightarrow7y-1=4x-8 \end{gathered}`

next we can solve for y by adding 1 on both sides of the equation, and then divide by 7 both sides to get:

`\begin{gathered} 7y-1=4x-8 \\ \Rightarrow7y=4x-8+1=4x-7 \\ \Rightarrow y=(4)/(7)x-(7)/(7)=(4)/(7)x-1 \\ y=(4)/(7)x-1 \end{gathered}`

therefore, the equation in slope intercept form is y=4/7x-1