Question

Consider the following equation Xpress to give an equation in slope intercept form simplify your answer

Answer 1

Step 1

Given;

`2y-3=-2(3-2x)`

Required; To write the equation in slope-intercept form.

Step 2

The standard slope-intercept form is;

`\begin{gathered} y=mx+b \\ m=slope \\ b=y-intercept \end{gathered}`
`\begin{gathered} 2y-3=-2(3-2x) \\ 2y-3=-6+4x \\ 2y=-6+4x+3 \\ 2y=4x-3 \end{gathered}`
`\begin{gathered} (2y)/(2)=(4x-3)/(2) \\ y=2x-(3)/(2) \end{gathered}`

Answer;

`y=2x-(3)/(2)`