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**3.7 Equations of Lines in the Coordinate Plane**

The slope m of a line is the ratio `of the vertical change (rise) to the horizontal change (run) between any two points.

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Find Slopes of Lines Find the slope of line a and line d.

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**Slopes of Lines in Coordinate Planes**

Negative slope – falls from left to right. Positive slope – rises from left to right. Zero slope (slope of 0) – horizontal line Undefined slope – vertical line

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**Forms of Linear Equations**

The slope intercept form of an equation of a nonvertical line is y = mx + b, where m is the slope and b is the y-intercept. The point-slope form of an equation of a nonvertical line is y – y1 = m (x – x1), where m is the slope and (x1 , y1) is a point on the line.

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Graphing Lines What is the graph of Starting point (0 , 1)

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**Graphing Lines What is the graph of y – 3 = -2 (x + 3)**

Starting point (-3 , 3)

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**Writing Equations of Lines**

What is an equation of the line with the slope 3 and y – intercept -5? y = mx + b y = 3x – 5

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**Writing Equations of Lines**

What is the equation of the line through point (-1 , 5) with slope 2? y – y1 = m (x – x1)

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**Using Two Points to Write an Equation**

What is an equation of the line with points (-2 , -1) and (3 , 5)?

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**Writing Equations of Horizontal and Vertical Lines**

What are the equations for the horizontal and vertical lines through (2 , 4)? y = 4 – horizontal line x = 2 – vertical line

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More Practice!!!!! Homework – textbook p. 194 # 8 – 36 even.

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1)-1 – 4 2) 0 – (-2) 4 – ( -3) -1 – (-2) 3)3 – 4 4) 2 – (-2) 2 + 1 3 – 6.

1)-1 – 4 2) 0 – (-2) 4 – ( -3) -1 – (-2) 3)3 – 4 4) 2 – (-2) 2 + 1 3 – 6.

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