Question

Find the answers to fill in blank 1. And blank 2.

Answer 1

Step-by-step explanation:

We are given the linear equation;

`y-4=3(x+1)`

To graph this equation, we would begin by re-writing the equation in the slope-intercept form, which is;

`y=mx+b`

To do this, we first expand the parenthesis;

`y-4=3x+3`

Next we add 4 to both sides;

`y-4+4=3x+3+4`
`y=3x+7`

We can now begin to plot the various points on the line. Starting from, x = -2 we would have;

`\begin{gathered} x=-2: \\ y=3(-2)+7 \\ y=-6+7 \\ y=1 \end{gathered}`

We can now go on and plot other points depending on the limit imposed by the graph page.

However, what we have here shows the coordinates from which we may begin;

ANSWER:

`\begin{gathered} (-2,1) \\ That\text{ is;} \\ x=-2,y=1 \end{gathered}`