Question

Which graph shows the line y- 1 = 2(x + 2)?сBDA. Graph CB. Graph DC. Graph AD. Graph B

Answer 1

`\text{ Graph C}`

Explanation:

A line is represented as follows:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

Isolate y in the given equation to get the line in the form above:

`\begin{gathered} y-1=2(x+2) \\ y=2(x+2)+1 \\ y=2x+4+1 \\ y=2x+5 \end{gathered}`

Notice that the slope of the line is positive and the y-intercept is 5.

*Remember that the y-intercept of a line is where x=0.

Then, the graph that shows the line is Graph C