Question

Write equations for the vertical and horizontal lines passing through the point (8,-9)

Answer 1

The vertical line passing through (8,-9) is represented by the equation x = 8, while the horizontal line is represented by y = -9.

Step-by-step explanation:

The equations for the vertical and horizontal lines passing through the point (8,-9) can be determined using the general knowledge of the slope and algebra of straight lines. A vertical line has an undefined slope and crosses the x-axis at a specific point. For the point (8,-9), the vertical line equation is x = 8. This signifies that no matter what the y-value is, the x-value will always be 8 for this line.

On the other hand, a horizontal line has a slope of 0 and crosses the y-axis at a specific point. The equation for the horizontal line passing through (8,-9) is y = -9. This indicates that the y-value will remain at -9 for all x-values along this line.

Answer 2

x = 8 and y = - 9

Step-by-step explanation:

The equation of a vertical line is x = c

Where c is the value of the x- coordinates the line passes through

The line passes through (8, - 9) with an x- coordinate of 8, thus

Equation of vertical line is x = 8

The equation of a horizontal line is y = c

Where c is the value of the y- coordinates the line passes through

The line passes through (8, - 9) with y- coordinate - 9, thus

The equation of the horizontal line is y = - 9