Question

Graph the line y-7= 2(x - 3)

Answer 1

We need to graph the equation

`y-7=2(x-3)`

Let us put it in the form of y = mx + b

`\begin{gathered} y-7=2(x)-2(3) \\ y-7=2x-6 \end{gathered}`

Add 7 to both sides

`\begin{gathered} y-7+7=2x-6+7 \\ y=2x+1 \end{gathered}`

Now let us choose three values of x and find its corresponding values of y and use them to draw the graph

x = 0

`\begin{gathered} y=2(0)+1 \\ y=0+1 \\ y=1 \end{gathered}`

The first point is (0, 1)

x = -1

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

The second point is (-1, -1)

x = 1

`\begin{gathered} y=2(1)+1 \\ y=2+1 \\ y=3 \end{gathered}`

The third point is (1, 3)

Now we can draw the line which is the graph of the equation