Chapter 3.1, Problem 7CYU

To determine

To Graph: The equation $y=4+x$ by using x- and y-intercepts.

Explanation of Solution

Given information:

The given equation $y=4+x$

Calculation:

To find the x-intercept, let $y=0$

  $\begin{array}{l}y=4+x\\ 0=4+x\end{array}$

(Replace y by 0)

  $0-4=4-4+x$

(Subtract 4 from both side)

  $x=-4$

(Simplify)

The x-intercept is -4. This means that the graph intersects the x-axis at $\left(-4,0\right)$ .

To find the y-intercept, let $x=0$

  $\begin{array}{l}y=4+x\\ y=4+0\end{array}$

(Replace x by 0)

  $y=4$

(Simplify)

The y-intercept is 4. This means the graph intersects the y-axis at $\left(0,4\right)$

Plot these two points and then draw a line through them.