Slope

Vertical lines have undefined slope. When doing rise over run, the run will always be 0. Because the undefined slope will always rise and not run.

Ex. a undefined slope

Horizontal lines have a zero slope. When doing rise over run, the rise will always be 0. Because the zero slope will always run and not rise.

Ex. a zero slope

Equation

Whenever x=___ whatever the x intercept is it will always be a vertical line. Because it doesn’t have a y point and the line will be drawn on the intercept of the line.

Ex. (3,7) x=3

Whenever y=___ whatever the y-intercept is it will always be a horizontal line. Because it doesn’t have a x point and the line will be drawn on the intercept of the line.

Ex. (7,3) y=3

Functions

All undefined slopes will not be a function because it will fail the vertical line test since it always has more that one point

Ex.

All zero slopes will be a function but not one to one because it won’t fail the vertical line test but it fails the horizontal test.

Ex

Domain & Range

The domain of a undefined slope will always be x=___ whatever the x-intercept is and the range will be all real numbers. Because the domain only hits the x-intercept and the range is all real numbers because it will continuoesly go up and down.

Ex. Domain: x=3 Range: All real #’s

The range of a zero slope will always be y=___ whatever the y-intercept is and the domain will be all real numbers. Because the range only hits the y-intercept and the range is all real numbers because it will continuoesly go left and right.

Ex. Domain: All real #’s Range: y=3

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