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Lines, Lines, Lines!!! ~ Horizontal Lines Vertical 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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What’s 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 Line’s 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 Line’s Slope:**

m is undefined Undefined Slope x y Line is vertical. Zero Slope x y m = 0 Line is horizontal. m = 2

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**Equations Horizontal and Vertical Lines**

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

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**Equations Horizontal and Vertical Lines**

Let’s 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)

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**Equations Horizontal and Vertical Lines**

Let’s 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)

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**The Equation for Horizontal Lines**

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

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**The Equation for Vertical Lines**

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

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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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3-7 Equations of Lines in the Coordinate Plane

3-7 Equations of Lines in the Coordinate Plane

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