Question

Write equations for the vertical and horizontal lines passing through the point (5,-9).

Answer 1

The equation of the vertical line passing through (5, -9) is x = 5, and the equation of the horizontal line through this point is y = -9.

Step-by-step explanation:

To write equations for the vertical and horizontal lines passing through the point (5,-9), we need to remember that a vertical line has the same x-value for all points on the line, and a horizontal line has the same y-value for all points on the line.

Therefore, the equation of the vertical line passing through (5, -9) would be x = 5, as it does not vary along the y-axis. Conversely, the equation for the horizontal line passing through (5, -9) would be y = -9, as it does not vary along the x-axis.

Answer 2

the vertical line is:

x = 5

The horizontal line is:

y = -9

Step-by-step explanation:

A vertical line has a fixed x-value, while a horizontal line has a fixed y-value.

Then we can write a vertical line as:

x = a

and a horizontal line as

y = b

Then, if we want a vertical line that passes through the point (5, -9), remember that the x-vale will be fixed, then we fix the x-value at the same x-value of the point, which we know that is 5, then the vertical line that passes through the point (5, -9) is:

x = 5

While the horizontal line that passes through the point (5, -9) will be a line with the y-value fixed at the y-value of the point, which we know is -9

Then the horizontal line is:

y = -9