Question

Write the linear function graphed below in slope-intercept form using function notation.

Answer 1

Step 1

Given;

Step 2

We find the slope

$y_2=\frac{-3-(-4)}{5-2}=\frac{1}{3}$

The standard equation of a line is given as;

$\begin{gathered} y=mx+b \\ m=slope=\frac{1}{3} \\ b=y-intercept \\ y=-4 \\ x=2 \end{gathered}$$\begin{gathered} -4=\frac{1}{3}(2)+b \\ -12=2+3b \\ 3b=-14 \\ b=-\frac{14}{3} \end{gathered}$

Answer;

$y=\frac{1}{3}x-\frac{14}{3}$