Chapter 13.2, Problem 23PSC

To determine

To find: The equation of the line whose intercepts are twice those of the graph of $2x+5y=10$ .

Answer to Problem 23PSC

The equation of the line whose intercepts are twice those of the graph of $2x+5y=10$ is $y=-\frac{2}{5}x+4$ .

Explanation of Solution

Given:

The equation is $2x+5y=10$ .

Calculation:

Write the equation $2x+5y=10$ in slope intercept form.

  $\begin{array}{c}2x+5y=10\\ 5y=-2x+10\\ y=-\frac{2}{5}x+2\end{array}$

Intercepts are twice, then the equation will be as follows.

  $\begin{array}{c}y=-\frac{2}{5}x+2\left(2\right)\\ =-\frac{2}{5}x+4\end{array}$

Therefore, the equation of the line whose intercepts are twice those of the graph of $2x+5y=10$ is $y=-\frac{2}{5}x+4$ .