Question

Determine the slope and equation of a line passing through the point (-5, -3) and perpendicular to the y-axis.

Answer 1

The equation of the vertical line passing through (-5,-2) would be y= -5.
The slope of a vertical line is undefined.

Answer 2

1. The slope of this line is undefined.
2. The equation of the line passing through the given points would be y = -5.

Given the following data:

• Points on x-axis = -5.

• Points on y-axis = -3.

To determine the slope and equation of a line passing through the given points and perpendicular to the y-axis:

How to calculate the slope of a line.

Mathematically, the slope of a line is given by the following formula;

$Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{0\;-\;(-3)}{0\;-\;0}\\\\Slope, m = \frac{3}{0}$

Therefore, the slope of this line is undefined.

For the equation:

Since the slope of this line is undefined, the equation of the line passing through the given points would be y = -5.

Read more on slope here: brainly.com/question/3493733