Question

10 what is the equation of the vertical line that passes through the point (3, -2)? (a) (b) what is the equation of the horizontal line that passes through the point?

Explanation:

Step1: Recall vertical - line equation

The equation of a vertical line is of the form $x = a$, where $a$ is the x - coordinate of any point on the line.

Step2: Identify x - coordinate

The given point is $(3,-2)$ and its x - coordinate is $3$. So the equation of the vertical line is $x = 3$.

Step3: Recall horizontal - line equation

The equation of a horizontal line is of the form $y = b$, where $b$ is the y - coordinate of any point on the line.

Step4: Identify y - coordinate

The given point is $(3,-2)$ and its y - coordinate is $-2$. So the equation of the horizontal line is $y=-2$.

Answer:

(a) $x = 3$
(b) $y=-2$