Question

Solve and Sketch in the graphy + 2 = 1/2(x - 3).

Answer 1

The first step is to express the equation in slope-intercept form which is;

y = mx + b

`\begin{gathered} y+2=(1)/(2)(x-3) \\ y+2=(1)/(2)x-(3)/(2) \\ y=(1)/(2)x-(3)/(2)-2 \\ y=(1)/(2)x-(3)/(2)-(4)/(2) \\ y=(1)/(2)x-(7)/(2) \\ \text{The y-intercept is -3.5 (when x = 0)} \\ \text{The x-intercept is 7 (when y = 0)} \\ \text{The graph is now shown below;} \end{gathered}`