Plot the following two points on a graph and draw the line that passes through those two points. Find the rise, run and slope of that line.
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1 Objective # 6 Finding the slope of a line Material: page 117 to 121 Homework: worksheet NOTE: When we say line... we mean straight line! Slope of a line: It is a number that represents the slant of a line and is represented by the letter m. Rise between two points on a line: It is the vertical distance between those points Run between two points on a line: It is the horizontal distance between those points. How do find the slope of a line? Example: Plot the following two points on a graph and draw the line that passes through those two points. Find the rise, run and slope of that line. (6, 9) and (1, 2) How can we find the rise just by looking at the coordinates? How can we find the run just by looking at the coordinates? Slope Formula: Let and be any two points on a Example: Plot the following pairs of points on separate graphs, draw the line that passes through the and find the slope of the line. a) (3, 9) and (-2, -3) b) (-1, 5) and (3, - 4) c) (-2, 6) and a y-intercept of -3 d) (2, -1) and an x-intercept of 5 y-intercept: It is the point where a line cuts the y-axis. Example: if the y-intercept is -3 then (0-3) is the point x-intercept: It is the point where a line cuts the x-axis. Example: if the x-intercept is 5 then (5, 0) is the point. Example: Go to page 120, reproduce the graph for # 6, 7 and calculate the slopes of each line!
2 Finding the slope of a line - knowing two points on the line Worksheet Find the slope of the line that passes through each of the following pairs of points:
3 Finding the Slope of a Line Worksheet 1. Plot the following pairs of points on separate graphs, draw the line that passes through them and calculate the slope using the slope formula. a) (-3, 6) and (4, 1) b) (5, 7) and (2, 1) c) (3, -5) and (-2, 4) d) (- 4, -5) and (6, -1) e) (4, 6) and (4, - 2) f) (3, 4) and (- 2, 4) g) (-3, 7) and a y-intercept of 1 h) (2, 7) and an x-intercept of Study the graphs of the following lines, pay close attention to the scales of both the x and y-axis and calculate the slopes of each using the slope formula. a) b) c) d)
4 Finding the slope of a line Worksheet Activity # 1: Plot the following pairs of points on the graph to their right, draw the line hat passes through those points and use the slope formula to calculate the slope of the line. a) (2, 1) (5, 8) b) (-2, -5) (3, 4) c) (6, 3) (- 4, 1) d) (2, -7) (4, -2) e) (-6,0) (-3, 4) f) (0,-2) (1,5) 1. The sign of the slopes of each of the six lines above is: A. positive OR B. negative A. Slanting upward to the right. O R B. Slanting downward to the right. Lines that have a slope that is always slant
5 Page -2- Activity # 2: Plot the following pairs of points on the graph to their right, draw the line hat passes through those points and use the slope formula to calculate the slope of the line. a) (-2, 1) (-5, 8) b) (2, -5) (-3, 4) c) (-6, 3) ( 4, 1) d) (-2, -7) (-4, -2) e) (6,0) (-3, 4) f) (0,-2) (-1,5) 1. The sign of the slopes of each of the six lines above is: A. positive OR B. negative A. Slanting upward to the right. O R B. Slanting downward to the right. Lines that have a slope that is always slant
6 Page -3- Activity # 3: Plot the following pairs of points on the graph to their right, draw the line hat passes through those points and use the slope formula to calculate the slope of the line. a) (2, 1) (5, 1) b) (-2, -5) (3, -5) c) (6, 3) (- 4, 3) d) (2, -7) (4, -7) e) (-6,0) (-3, 0) f) (0,-2) (-2,-2) 1. The slopes of each of the six lines above is: A. zero OR B. undefined A. a horizontal line O R B. a vertical line Lines that have a slope that is always have a slant that is a.
7 Page -4- Activity # 4: Plot the following pairs of points on the graph to their right, draw the line hat passes through those points and use the slope formula to calculate the slope of the line. a) (2, 1) (2, 6) b) (-2, -5) (-2, 3) c) (6, 3) (6, -3) d) (-5, -7) (-5, -1) e) (-6,0) (-6, 4) f) (0,-2) (0, 6) 1. The slopes of each of the six lines above is: A. zero OR B. undefined A. a horizontal line O R B. a vertical line Lines that have a slope that is always have a slant that is a.
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