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=(-3-(-4))/(5-2)=(1)/(3)`

The standard equation of a line is given as;

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

Answer;

`y=(1)/(3)x-(14)/(3)`