Question

an equation of a horizontal or vertical line in exercises 19 - 22, write an equation of the line of the given type that passes through the point shown. 19. vertical line 20. horizontal line

Explanation:

Step1: Recall equation of vertical line

The equation of a vertical line passing through the point $(x_0,y_0)$ is $x = x_0$.

Step2: Identify x - coordinate of the point

The given point is $(-2,4)$, so $x_0=-2$. The equation of the vertical line is $x=-2$.

Step3: Recall equation of horizontal line

The equation of a horizontal line passing through the point $(x_0,y_0)$ is $y = y_0$.

Step4: Identify y - coordinate of the point

The given point is $(-2,4)$, so $y_0 = 4$. The equation of the horizontal line is $y = 4$.

Answer:

Equation of vertical line: $x=-2$
Equation of horizontal line: $y = 4$