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Equations of Lines in the Coordinate Plane

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. Find Slopes of Lines. Find the slope of line a and line d. Slopes of Lines in Coordinate Planes.

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Equations of Lines in the Coordinate Plane

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  1. Equations of Lines in the Coordinate Plane • The slopem 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 formof 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.

  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 – y1 = m (x – x1)

  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

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