Chapter SH, Problem 2.3EP

To determine

To find:the x -intercept and y -intercept and draw the graphof the given equation.

Answer to Problem 2.3EP

  $x=3,y=-9$ .

Explanation of Solution

Given:

The given equation is $y=3x-9$ .

Calculation:

As the given equation is $y=3x-9$ .

The x -intercept is the value of x when $y=0$ .

  $\begin{array}{l}y=3x-9\left\{\text{origin equation}\right\}\\ 0=3x-9\{\text{substitute }y=0\}\\ 3x-9+0=0+9\left\{\text{add 9 on each side}\right\}\\ 3x=9\left\{\text{simplify}\right\}\\ \therefore x=\frac{9}{3}\left\{\text{divide 3 on each side}\right\}\\ \Rightarrow x=3\end{array}$

Also, the y -intercept is the value of y when $x=0$ .

  $\begin{array}{l}y=3x-9\left\{\text{origin equation}\right\}\\ y=0-9\{\text{substitute }x=0\}\\ \therefore y=-9\end{array}$

Hence, the x -intercept and y -intercept of the given equation is $x=3,y=-9$ .

Now, draw the graph of the given equation.

The graph of $y=3x-9$ is:

  

Thus, the above graph is the graph of the equation.