Chapter 3.1, Problem 56PPS

To determine

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

Answer to Problem 56PPS

x-intercept is $\left(-1.5,0\right)$ and y-intercept is $\left(0,1\right)$ .

Explanation of Solution

Given:

  $y=\frac{2}{3}x+1$

Calculation:

Put $y=0$ in $y=\frac{2}{3}x+1$ , we get

  $\begin{array}{l}\Rightarrow \frac{2}{3}x+1=0\\ \Rightarrow \frac{2}{3}x=-1\\ \Rightarrow x=-\frac{3}{2}\\ \Rightarrow x=-1.5\end{array}$

Therefore x-intercept is $\left(-1.5,0\right)$ .

Put $x=0$ in $y=\frac{2}{3}x+1$ , we get

  $\begin{array}{l}\Rightarrow y=\frac{2}{3}\left(0\right)+1\\ \Rightarrow y=1\end{array}$

Therefore y-intercept is $\left(0,1\right)$ .