Math 8 Slope of a Line PDF

MATH 8 slope of a line Presented by: Lian Rublico  Intended Learning Outcome At the end of the lesson, you will be able to: 1) determine the slope of a line given two points, equation and graph and 2) describe the trends of the graph of a linear equation 3) graph the slope o...

MATH 8 slope of a line Presented by: Lian Rublico  Intended Learning Outcome At the end of the lesson, you will be able to: 1) determine the slope of a line given two points, equation and graph and 2) describe the trends of the graph of a linear equation 3) graph the slope of a line 4) reflect the graph in real-life situation Just keep learning  slope The steepness (represented by slightly slant roads and more slant roads) is called the slope. The slope, represented by 𝒎, is defined as the ratio of the vertical change between two points to the horizontal change between the same two points. The vertical change is referred to as the rise and the horizontal change as the run.  slope The larger the slope, the steeper the line is as it goes up. m = 1/3 m=2 rise =4 rise = 1 run= 3 run =2  slope The smaller the slope, the steeper the line is as going down. m = -1/3 m = -2 rise = -4 rise = -1 run = 3 run = 2  slope Zero slope means no vertical change m=0 rise = 0 run = 6  slope Going straight up and down has undefined slope rise = 4 rise = -4 run = 0 run = 0  FINDING SLOPE Given Two Points y2 - y1 m= x2- x 1 x1 = x-coordinate of the first point x2 = x-coordinate of the second point y1 = y-coordinate of the first point y2= y-coordinate of the second point  FINDING SLOPE Given Two Points Find the slope of the line with point A (5, 1) & B (7,9) A (5, 1) & B (7,9) y2 - y1 m= x2- x 1  FINDING SLOPE Let’s Try Out Find the slope of the line, containing the following two consecutive points 1. (4, 5) and (2, 1) 4. (0, 3) and (4, -1) 2. (2, 3) and (-1, 2) 5. (-2,2) and (3,2) 3. (-3, 4) and (1, -2) 6. (2, -1) and (2, 3)  SEATWORK #1 A. Find the slope of the line given the following pair of points  FINDING SLOPE Given Equation Ax + By = C -A m= B  FINDING SLOPE Given Equation Ax + By = C -A m= B  FINDING SLOPE Trends of the Graph If m is positive, then the graph is increasing from left to right  FINDING SLOPE Trends of the Graph If m is negative, then the graph is decreasing from left to right  FINDING SLOPE Trends of the Graph If m is zero, then the graph is a horizontal line  FINDING SLOPE Trends of the Graph If m is undefined, then the graph is a vertical line  SEATWORK #2 Describe the trend of the graph  FINDING SLOPE Given the Graph Find the slope of a line  FINDING SLOPE Given the Graph Find the slope of a line  FINDING SLOPE Given the Graph Find the slope of a line  FINDING SLOPE Given the Graph Find the slope of a line  FINDING SLOPE Given the Graph Find the slope of a line  SEATWORK #2 On your Math 8 Book, please answer pg. 156, items 15-20