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} \frac{2y}{2}=\frac{4x-3}{2} \\ y=2x-\frac{3}{2} \end{gathered}$

Answer;

$y=2x-\frac{3}{2}$