Chapter 13.2, Problem 18PSB

(a)

To determine

To find: The equation of line if it is parallel to the x-axis.

Answer to Problem 18PSB

The equation of line is $y=2$ .

Explanation of Solution

Given:

The line passes through a point 3 units to left of an 2 units above the origin.

Calculation:

From the given information the point will be $\left(-3,2\right)$ .

The equation of line parallel to $x$ axis is given by $y=b$ .

  $y=2$

Therefore, the equation of line is $y=2$ .

(b)

To determine

To find: The equation of line if it is parallel to the y-axis.

Answer to Problem 18PSB

The equation of line is $x=-3$ .

Explanation of Solution

Given:

The line passes through a point 3 units to left of an 2 units above the origin.

Calculation:

From the given information the point will be $\left(-3,2\right)$ .

The equation of line parallel to $x$ axis is given by $x=a$ .

  $x=-3$

Therefore, the equation of line is $x=-3$ .