Chapter 8, Problem 9CCSR

To determine

To find: The equation that models a line with positive slope and a positive x-intercept.

Answer to Problem 9CCSR

The correct option is A.

Explanation of Solution

Given information:

  $5x–2y=14$

When the equation is in the form of

  $x=my+c$ where m=slope and c=x-intercept

Then the slope and x-intercept will be positive

So,

  $\begin{array}{l}5x–2y=14\\ 5x–2y+2y=2y+14\\ 5x=2y+14\\ \frac{5}{5}x=\frac{2}{5}y+\frac{14}{5}\\ x=\frac{2}{5}y+\frac{14}{5}\end{array}$

This equation $5x–2y=14$ has positive slope and positive x-intercept .

Therefore, the solution is A.