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Equations of Lines in the Coordinate Plane

Learn about slope, forms of linear equations, graphing lines, writing equations, and more in the coordinate plane. Practice finding slopes and writing equations using different methods.

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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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