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Example 3-4c Objective Find the slope of a line

Example 3-4c Vocabulary Slope A ratio of the rise over the run Rise Run Slope =

Example 3-4c Vocabulary Rise The vertical change Rise Run Slope =

Example 3-4c Vocabulary Run The horizontal change Rise Run Slope =

Lesson 3 Contents Example 1Find Slope Using a Graph Example 2Find Slope Using a Table Example 3Use Slope to Solve a Problem Example 4Use Slope to Solve a Problem

Example 3-1a Find the slope of the line. Choose two points on the line that is at the intersection of 2 lines Make a right triangle Write the slope formula 1/4 Write the ordered pairs of each (0, 2) (1, 0)

Example 3-1a Find the slope of the line. Begin on the rise (up/down) leg of the triangle 1/4 (0, 2) (1, 0) Slope = -2 Replace “rise” with -2 since counting downward rise –2

Example 3-1a Find the slope of the line. Follow the run (left/right) back to the yellow line 1/4 Replace “run” with +1 since it moves to the right (0, 2) (1, 0) Slope = -2 1 Slope = -2 NOTE: Line moves down from left to right which makes it a negative slope Answer: The slope = –2 run 1

Example 3-1c Find the slope of the line. Answer: 1/4

Example 3-2a The points given in the table lie on a line. Find the slope of the line. Then graph the line. 2 – y 5x 2/4 Write the slope formula Rise = change in y change in y Pattern of y Find the pattern for y +1

Example 3-2a The points given in the table lie on a line. Find the slope of the line. Then graph the line. 2 – y 5x change in x 2/4 Run = change in x change in y Find the pattern for x +1 Pattern of x –2 Then graph the line

Example 3-2b 2 – y 5x Draw a line through the points (5, -1) (3, 0) (1, 1) (-1, 2) 2/4 Graph each ordered pair and label Check the slope Slope = Rise Run 2 Answer: Slope =

Example 3-2c The points given in the table lie on a line. Find the slope of the line. Then graph the line. x–3036 y–1135 Answer: 2/4 (6, 5) (3, 3) (0, 1) (-3, -1) Slope =

Example 3-3a TAXIS The graph shows the cost of a taxi ride for the number of miles driven. Find the slope of the line /4 Make a right triangle using the points on the line Write the slope formula Rise = change in y slope = 4 Run = change in x 5 Answer:

Example 3-3c MOVIES The graph shows the cost of movie rentals at Videos Plus. Find the slope of the line. Answer: 2 3/4 1 or 2

Example 3-4a The graph shows the cost of a taxi ride for the number of miles driven. Interpret the meaning of the slope as a rate of change. 4/4 Write the slope formula Choose any 2 points that lines intersect Make a right triangle

Example 3-4a The graph shows the cost of a taxi ride for the number of miles driven. Interpret the meaning of the slope as a rate of change. 4/4 Rise = change in y 4 slope = $4 Run = change in x 5 miles

Example 3-4a The graph shows the cost of a taxi ride for the number of miles driven. Interpret the meaning of the slope as a rate of change. 4/4 4 slope = $4 5 miles Make a unit rate by dividing the denominator into the numerator and denominator  5 $0.80  5 1 miles The cost for a taxi is $0.80 for each mile Answer:

Example 3-4c The graph shows the cost of movie rentals at Videos Plus. Interpret the meaning of the slope as a rate of change. * 4/4 Answer: Cost is $2 for each movie

End of Lesson 3 Assignment Lesson 4:3Slope All