Chapter 11.6, Problem 37SR

To determine

To find: Theequation in slope-intercept form for the given graph.

Answer to Problem 37SR

The equation in slope-intercept form for the given graphis $y=0.8x+0$ .

Explanation of Solution

Given information:

The given graph is,

  

Concept used:

The standard equation for the linear function cab be written as,

  $y=mx+b$

Here, the slope of the graph is $m$ and the $y$ -intercept is $b$ .

From the graph there is no y-intercept that is $b=0$

Theslope of the line is calculated as,

  $\begin{array}{l}y=mx+b\\ 2=m\left(2.5\right)+0\\ m=0.8\end{array}$

The equation in the slope-intercept form is obtained as,

  $\begin{array}{l}y=mx+b\\ y=0.8x+0\end{array}$

Thus, the equation in slope-intercept form for the given graph is $y=0.8x+0$ .