Chapter 3.1, Problem 53PPS

To determine

To find the x-intercept and y-intercept of the given equation.

Answer to Problem 53PPS

x-intercept is $\left(2.5,0\right)$ and y-intercept is $\left(0,-\frac{5}{3}\right)$ .

Explanation of Solution

Given:

  $2x-3y=5$

Calculation:

Put $y=0$ in $2x-3y=5$ , we get

  $\begin{array}{l}\Rightarrow 2x-3\left(0\right)=5\\ \Rightarrow 2x=5\\ \Rightarrow x=2.5\end{array}$

Therefore x-intercept is $\left(2.5,0\right)$ .

Put $x=0$ in $2x-3y=5$ , we get

  $\begin{array}{l}\Rightarrow 2\left(0\right)-3y=5\\ \Rightarrow -3y=5\\ \Rightarrow y=-\frac{5}{3}\end{array}$

Therefore y-intercept is $\left(0,-\frac{5}{3}\right)$ .