Question

Write equations for the vertical and horizontal lines passing through the point (0, -3).

Answer 1

The equations for the vertical and horizontal lines passing through the point (0, -3) are x = 0 and y = -3, respectively.

Step-by-step explanation:

The student has asked for the equations of the vertical and horizontal lines passing through the point (0, -3).

A vertical line at a certain x-coordinate has the same x-value for all points on the line. Since the given point is (0, -3), the vertical line passing through it will have the equation x = 0.

Similarly, a horizontal line has the same y-value for all its points. For the point (0, -3), the horizontal line passing through it will have an equation of y = -3.

To sum up, the equations of the lines are:

• Vertical line: x = 0
• Horizontal line: y = -3

Answer 2

Vertical line will be x=0, and horizontal line will be y=-3

Step-by-step explanation:

Draw a vertical line through point (0,-3). You will see it's on the y-axis. The equation of the line on y-axis is always x=0, because no matter what point you choose on the line, the x coordinate will be 0. (0,-3), (0, -2), etc.

Next draw a horizontal line through (0,-3). It's parallel to the x axis, and no matter what point on the line you choose, the y coordinate will be -3. (0,-3), (1, -3), etc