Question

step 1 : find the slope intercept form and the y-intercept . Express the intercept as an ordered pair simplify the answer.Given : p(x)= -3 - 3/4x Answer: slope:?y-intercept:?Make the graph

Answer 1

The general line equation in y-intercept form is given by

$y=mx+b$

where m is the slope and b is the y-intercept.

In our case, the given line is

$p(x)=-\frac{3}{4}x-3$

By comparing both equations, we can see that

$\begin{gathered} y\longrightarrow p(x) \\ m\longrightarrow-\frac{3}{4} \\ b\longrightarrow-3 \end{gathered}$

Therefore, the answer is

$\begin{gathered} \text{slope}=-\frac{3}{4} \\ y\text{ intercept = -3} \end{gathered}$

Now, the y- intercept as an ordered pair is (0,-3)

In order to graph the line, we can give values to the variable x. At least 2 values. For instance:

that is, we have 2 points: (0,-3) and (4,-6). We can connect these points and get the line: