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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.

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Presentation on theme: "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."— Presentation transcript:

1 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.

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

3 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

4 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 – y 1 = m (x – x 1 ), where m is the slope and (x 1, y 1 ) is a point on the line.

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

6 Graphing Lines What is the graph of y – 3 = -2 (x + 3) Starting point (-3, 3)

7 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

8 Writing Equations of Lines What is the equation of the line through point (-1, 5) with slope 2? y – y 1 = m (x – x 1 )

9 Using Two Points to Write an Equation What is an equation of the line with points (-2, -1) and (3, 5)?

10 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

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


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