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Horizontal Lines Vertical Lines Lines, Lines, Lines!!! ~

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What is a Horizontal Line? A Horizontal Line is a line that goes straight from left to right (or right to left) parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.

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Whats a Vertical Line? A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.

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The Possibilities for a Lines Slope: Positive Slope x y m > 0 Line rises from left to right. Negative Slope x y m < 0 Line falls from left to right.

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The Possibilities for a Lines Slope: Zero Slope x y m = 0 Line is horizontal. m is undefined Undefined Slope x y Line is vertical. m = 2 0

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Equations Horizontal and Vertical Lines Horizontal line:y = b Vertical line: x = a Where b, a are Constants Graph: x = 2 and y = -1 x y 2 2 2 2 2 2 2 2 2 2 2 2 -1 0 1 x y -1 -1 -1 -1 0 1 Vertical line Horizontal line x = 2 y = -1

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Lets look at a line with a y-intercept of 4, a slope m = 0, and let (x, 4) be any point on the Horizontal line. Y-axis X-axis (0,4) (x,4) Equations Horizontal and Vertical Lines

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Lets look at a line with no y-intercept b, an x- intercept 3, an undefined slope m, and let (3, y) be any point on the vertical line. Lets look at a line with no y-intercept b, an x- intercept 3, an undefined slope m, and let (3, y) be any point on the vertical line. Y-axis X-axis (3,0) (3, y) Equations Horizontal and Vertical Lines

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Therefore… The Equation for a Horizontal line going through the points (a, b), (7, b), (-4, b), (z, b), (3, b), (-10, b), ect is… y = b The Equation for Horizontal Lines

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Therefore… The Equation for a Vertical line going through the points (a, 2), (a, a), (a, 5), (a, 7), (a, z), (a, -10), ect is… x = a The Equation for Vertical Lines

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Horizontal Line Practice Find the equation for the lines passing through the following points. 1. (3, 2) and ( 8, 2) 2. (-5, 4) and ( 10, 4) 3. (1, -2) and ( 7, -2) 4. (4, 3) and ( -2, 3)

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Vertical Line Practice Find the equation for the lines passing through the following points. 1. (3, 5) and ( 3, -2) 2. (-5, 1) and ( -5, -1) 3. (1, -6) and ( 1, 8) 4. (4,3) and ( 4, -4)

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Student Activity You will now receive a worksheet. Turn the worksheet in when completed.

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Do Not Disturb Work In Progress

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