# Given the point (7,-8) find the equation and slopes of the vertical and horizontal lines that pass through the that point

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The slope of a vertical line is infinity and the slope of a horizontal line is 0.

If a vertical line passes through the point (7, -8) its equation is x = 7. The equation of a horizontal line passing through the point (7, -8) is y = -8.

**The equation of a vertical line through the point (7, -8) is x = 7 and the equation of a horizontal line through the same point is y = -8**

With a point (7, -8), the equation of a vertical line passing through it would be **x=7**. The reason for this is because regardless of what the y-value is, the x-value will always be 7 since a vertical line goes directly up without curving or changing direction. As a result, the **slope would be infinite** since the line forever continues going up.

For a horizontal line passing through the point, the equation would be **y=-8** because regardless of the x-value, the line will always pass through -8 on the y-axis. All horizontal lines have **slopes of 0**, because slope is rise over run, and horizontal lines never rise.

Given the point (7,-8) find the equation and slopes of the vertical and horizontal lines that pass through the that point

Given (7,-8) find the equation and slopes of the vertical and horizontal lines that pass through the that point

Vertical line: all y values share the same x value so:

x = 7

The slope is undefined for vertical lines.

Horizontal line: all x values share the same y value so:

y = -8

The slope is 0 for all horizontal lines. (No rise, no run!)