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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justaguide | College Teacher | (Level 2) Distinguished Educator

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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

michuraisin's profile pic

michuraisin | Student, College Junior | (Level 1) Salutatorian

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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.

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

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

x=7
y= -8
 
the slope would be 0 for all horizontal lines, and undefined for a vertical line.
Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

 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!)

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