Slopes Objective: By the end of this unit students will be able to identify, interpret and calculate the slope of a line.

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Presentation transcript:

Slopes Objective: By the end of this unit students will be able to identify, interpret and calculate the slope of a line.

Slope What is a slope? The rate at which a line increases or decreases Describe a positive slope/negative slope Pos line goes up from right to left Neg line goes down from right to left Describe a steep slope a narrow slope Steep line gets closer and closer to vertical Narrow line gets closer and closer to horizontal

Examples

Calculating Slope What is slope? rise of a line over the run Change in y or change in x From a graph? Find two points on the graph Connect them using a triangle Find length of sides of the triangle Write as slope From a 2 points?

Examples Calculate slope given the points (-2,3) and (5,7)

Vertical and Horizontal Lines What is a vertical Line? Goes up and down with no left or right movement What is the slope of a vertical line? rise/run any # / 0 = undefined What is a horizontal line? Goes left and right with no up or down movement What is the slope of a horizontal line? rise over run 0/ any # = 0

Examples Calculate the slope (3,5) and (3,10) (-2,4) and (5,4)

Parallel and Perpendicular Lines and Slopes Parallel? Never touch Slopes are the same Perpendicular Intersect at 90 degrees Slopes are opposite reciprocals

Examples If the slope of a line is 4/5 What is the slope of a line parallel?perpendicular? If the slope of a line is -3

Homework Worksheets Why did the skeleton visit a butcher shop – interpreting graphs Slope of line – from graph, points, parallel and perpendicular