What is slope? Notes Learning Target: SOL A.6a The student will graph linear equations in two variables and determine the slope of a line when given the graph of the line or two points on the line. The slope of a non-vertical line is the ratio of the ______________ change to the ______________ change. We refer to this as the rate of change and use m to represent slope. Finding the slope of A Line Given a Graph: m= Read a graph like you read a book, from left to right. If the line is going __________, the slope should be _________________. If the line is going __________, the slope should be _________________. Find the slope of each line graphed. 1. 2. 3. 4. 1 Finding slope of horizontal and vertical lines: HOY VUX H: V: O: U: Y: X: 5. 6. Finding the slope Given Two Points: m= Find the slope of each line passing through the given points. 5. (4, 3) and (-2, -3) 6. (-3, 5) and (8, 2) 7. (8, 0) and (8, 4) 8. (6, -2) and (5, -2) 2 Try it! Find the slope of each line. 1. 2. 3. What type of line has a slope of zero? Find the slope of the line passing through the given points. 4. (-1, 2) and (3, -4) 6. (8, 5) and (2, -7) 5. (0, 5) and (-3, 5) 7. (-1, 3) and (-1, 9) 8. The graph below shows the elevation of a hiker walking on a mountain trail. a. What does the slope represent? b. Describe the hike in terms of slope. Time (min) 3