Question

Graph the following equation:(y + 3) = 2(x + 4)

Answer 1

Given:

The equation of line is,

`y+3=2(x+4)`

Find the points on line,

`\begin{gathered} y+3=2(x+4) \\ y+3=2x+8 \\ y=2x+5 \\ \text{slope = 2} \end{gathered}`
`\begin{gathered} \text{For x=1} \\ y=2x+5 \\ y=2+5=7 \\ \text{for x=-1} \\ y=2x+5 \\ y=2(-1)+5=3 \\ \text{for x=0} \\ y=2x+5 \\ y=2(0)+5=5 \\ \text{for }x=-2 \\ y=2x+5 \\ y=2(-2)+5=1 \\ \text{The points are} \\ (1,7),(-1,3),(0,5),(-2,1) \end{gathered}`

The graph of the equation of line is,