Problems involving slope of a line Mathematics Grade 8

Problems involving slope of a line Mathematics Grade 8

• 1.
  Review
• 2.
  Plot the orderedpairs given in the table on the Cartesian Plane. x 0 2 4 6 8 y 3 4 5 6 7 a.) b.) x 0 3 6 9 12 y -1 1 3 5 7
• 3.
  Subject Matter Slope ofa Line
• 4.
  Learning Objectives  Illustratethe slope of a line  Define and identify the different kinds of slopes
• 5.
  Slope of aLine The slope of a line measures its steepness and direction. It describes how much the line rises or falls as it moves from left to right across the graph. Slope is commonly represented by the letter m and calculated using two points on the line: In other words, Slope (m) of a straight line is the measure of the ratio of the vertical change or the change in y, called the rise, to the horizontal change or the change in x, called the run m = Change in y (Rise) Change in x (Run) Any two points on the line can be used to Find its slope.
• 6.
  Slope of aline formula Slope of a line formula m = Y2 – Y1 X2 – X1 Where x1 ≠ x2
• 7.
  Target Skill 1 Determinethe slope of a line that passes through the following points. a.) (-3, 1) and (3, -4) b.) (-5, 6) and (0, -5) c.) (7, -2) and (9, 3)
• 8.
  Determine the slopeof a line that passes through the following points. a. (-5, 3) and (5, -1) b. (1, 2) and (7, 3)
• 9.
  Kinds of Slopes Thereare four kinds of slopes. 1.) Positive. The line goes up from left to right 2.) Negative. The line goes down from left to right Y -Y X -X Y -Y X -X
• 10.
  Kinds of Slopes Thereare four kinds of slopes. 3.) Zero. The line is horizontal or parallel to the x - axis 2.) Undefined. The line is vertical or parallel to the y - axis Y -Y X -X Y -Y X -X
• 11.
  Solve for theslope of the following lines and identify what kind of slope the line has. a.) (3, -1) and (3,3) b.) (0, 0) and (-3,-1) c.) (2, -2) and (-2,-1) d.) (4, 6) and (-3,6)
• 12.
  Solve for theslope of the following lines and identify what kind of slope the line has. a.) (-2, 2) and (1,-1) b.) (-3, 1) and (4,1) c.) (-6, -4) and (-1,-2) Progress Check
• 13.
  Slope from anEquation of a Line. The equation x + 2y = 6 in standard form (ax + by = 0) can be written as Y = -1 2 x + 3. Is the y – form or the slope – intercept form of a linear equation. In general, the slope – intercept form of a linear equation is y = mx + b Where m represents the slope b represents the y – intercept ( 0, b) x and y represent the numbers in the ordered pair
• 14.
  Find the slopeand the y-intercept of the following linear equations. a. y = 4x Progress Check Target Skill 3 b. 3x + 2y = 5 c. y – 2x = -6 d. 2x – 2y = 10 – 3x Find the slope of the following linear equation. a. y = -4x + 5 b. 2y = 6x - 10 c. y = 10x - 7 7 _____
• 15.
  Find the slopeof the following linear graph Slope from the graph a.)
• 16.
  Find the slopeof the following linear graph Slope from the graph b.)
• 17.
  Find the slopeof the following linear graph Slope from the graph c.)
• 18.
  Determine the slopeof the following linear graphs Progress Check a.)
• 19.
  Determine the slopeof the following linear graphs Progress Check b.)
• 20.
  Determine the slopeof the following linear graphs Progress Check c.)
• 21.
  Plot the followingpoints and determine the slope of each line. Identify if the slope formed is positive, negative, zero or undefined Evaluation: 1.) (-2, 0) and (0,0) 2.) (5, 2) and (1,1) 3.) (13, -2) and (6,3) 4.) (4, 5) and (1,5)
• 22.
  Find the slopeof the following linear equation represented by their Corresponding graph. Assignment: