Chapter 5.5, Problem 1P

Find the $x$- and $y$-intercepts of the graph of each equation.

$x+y=7$

To determine

To Find: The $x-$ intercept and $y-$ intercept of the equation $x+y=7$ .

Answer to Problem 1P

The $x-$ intercept $\left(7,0\right)$ and $y-$ intercept is $\left(0,7\right)$ .

Explanation of Solution

Given information:

Equation of line is $x+y=7$

Concept and Formula Used:

For $x-$ intercept substitute value of $y=0$

For $y-$ intercept substitute value of $x=0$

Calculation:

It is given that equation of line is $x+y=7$

For $x-$ intercept substitute value of $y=0$ in the equation of line

  $\begin{array}{l}x+0=7\\ x=7\end{array}$

For $y-$ intercept substitute value of $x=0$ in the equation of line

  $\begin{array}{l}0+y=7\\ y=7\end{array}$

Conclusion:

The $x-$ intercept is $\left(7,0\right)$ and $y-$ intercept is $\left(0,7\right)$ .