Chapter 9.8, Problem 41STP

To determine

To determine theequation of the line.

Answer to Problem 41STP

The equation of the line is $y=x+1$

Explanation of Solution

Given information:

Box with 4 balls weighs 5 lb.

Box with 10 balls weights 11 lb.

Here we shall determine the equation in slope intercept form for the weight $y$ of a box containing $x$ balls.

Points of the line are (4, 5) (10, 11)

Now the equation of the line is given by formula $y-y_1=\left(\frac{y_2-y_1}{x_2-x_1}\right)\left(x-x_1\right)$

Put the values of the intersection points we get,

  $\begin{array}{l}y-5=\left(\frac{11-5}{10-4}\right)\left(x-4\right)\\ y-5=\left(\frac{6}{6}\right)\left(x-4\right)\\ y=x-4+5\\ y=x+1\end{array}$

Hence the equation of the line is $y=x+1$