Chapter SH, Problem 4.3MPS

To determine

To find:The equation in point slope form.

Answer to Problem 4.3MPS

The equation is $y=66.67x+66.66$ .

Explanation of Solution

Given information: The given information is the cost of a membership to the gym.

  

Calculation:

The points are,

  $\left(2,200\right);\left(8,600\right)$

The slope is:

  $m=\frac{y_2-y_1}{x_2-x_1}$

  $\begin{array}{l}m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{600-200}{8-2}\\ m=\frac{400}{6}\end{array}$

  $m=66.67$

Use the slope and the point $\left(2,200\right)$ to calculate the equation of the line.

The point slope form is:

  $y-y_1=m\left(x-x_1\right)$

The equation of the line is,

  $\begin{array}{l}y-200=66.67\left(x-2\right)\\ y-200=66.67x-133.34\\ y=66.67x+66.66\end{array}$

Therefore, the equation is $y=66.67x+66.66$ .