Chapter 3.2, Problem 31OE

a.

To determine

The coordinates of the point where the line $x=-2$ crosses the $x-axis$ .

Answer to Problem 31OE

The given line crosses the $x-axis$ at the point $(-2,0)$ .

Explanation of Solution

Given Information: Given line is $x=-2$ .

The given line crosses the $x-axis$ when $x=-2,y=0$ , i.e., at the point $(-2,0)$ .

b.

To determine

To explain: The line $x=-2$ does not cross the $y-axis$ .

Answer to Problem 31OE

The line $x=-2$ does not cross the $y-axis$ because $x$ is never equal to $0$ .

Explanation of Solution

Given Information: Given line is $x=-2$ .

The equation $x=-2$ can be written as

  $1.x+0.y=-2$

Comparing with $Ax+By=C$ ,

  $B=0$

So the graph of the given equation is a vertical line parallel to $y-axis$ .

In other words, since $x=-2$ , so $x$ is never equal to $0$ , so the graph of $x=-2$ does not cross the $y-axis$ .

Thus, the line $x=-2$ does not cross the $y-axis$ .