Transcription of Lesson 5: Graphing Using Slope Intercept Form
1 Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations Lesson 5: Graphing Using Slope Intercept Form Example 1 Example 2 Slope = _____ Y- Intercept = _____ Slope = _____ Y- Intercept = _____ Notes Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations Example 3 Example 4 Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations Lesson 5: Using Slope Intercept Form to Graph Equations Directions: Graph each equation Using the following directions: Example: 1.
2 Circle the y- Intercept in the equation. Then plot this point on your graph. y = 1/2x +2 2. Put a square around the Slope in the equation. Then use the Slope to plot your next point. y = x +2 3. Draw a line through your two points. (0,2) Rise = 1 (up 1) Run 2 (right 2) Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations 1. y = 2x +2 2. y = -3x +1 3. y = 1/3x - 4 4. y = -2/5x - 2 Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations 5.
3 Y = -3/4x 6. y = x +5 7. y = -2 8. y = -4x Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations 9. Which graph represents the equation: y = -2/3x 7? A. line A B. line B C. line C D. line D 10. Graph the equation: y = 3x -8 on the grid. Label this line A. Identify three solutions for this equation. 11. Graph the equation: y = -x +10 on the grid. Label this line B. Identify three solutions for this equation. Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations 1. Which line on the graph represents the equation: y = -3/4x 2?
4 (1 point) A. line A B. line B C. line C D. line D Part 2: Identify the Slope and y- Intercept in each equation. Then graph the equation on the grid. (3 points each) 1. y = 3x -6 2. y = -1/4x Slope : _____ Slope : _____ Y- Intercept :_____ Y- Intercept :_____ A B C D Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations Lesson 5: Using Slope Intercept Form - Answer Key 1. y = 2x + 2 3. y = 1/3x - 4 4. y = -2/5x - 2 2. y = -3x +1 Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations 5.
5 Y = -3/4x 6. y= x +5 7. y = -2 8. y = -4x **The y- Intercept is (0,0). When no number is written in the y- Intercept s place, it is assumed to be 0. **The Slope is 1. When there is no coefficient ( Slope ), the Slope is assumed to be 1. (1 times x is still x) **There is no variable term in this equation; therefore the Slope is 0. Anytime the Slope is 0, the line is horizontal. Therefore, we have a horizontal line through the y- Intercept . **The y- Intercept is (0,0). When no number is written in the y- Intercept s place, it is assumed to be 0. Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations 9. Which graph represents the equation: y = -2/3x 7?
6 A. line A B. line B C. line C D. line D 10. Graph the equation: y = 3x -8 on the grid. Label this line A. Identify three solutions for this equation. 11. Graph the equation: y = -x +10 On the grid. Label this line B. Identify three solutions for this equation. Since the equation has a Slope of -2/3, you can eliminate C and D because both lines have a positive Slope (rising from left to right.) The equation y = -2/3x 7 has a y- Intercept of -7. Therefore, letter B, must be the correct answer because the line passes through the point (0, -7). Letter B has a Slope of -2/3. y- Intercept = -7 Possible solutions: (4,4) (3,1) (2,-2) (1,-5) (0,-8) (Or any point on the line ) Possible solutions: (0,10) (1,9) (2,8) (3,7) (4,6) (Or any point on the line ) Copyright 2009 Unit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing EquationsUnit 2: Graphing Equations 1.
7 Which line on the graph represents the equation: y = -3/4x 2? (1 point) A. line A B. line B C. line C D. line D Part 2: Identify the Slope and y- Intercept in each equation. Then graph the equation on the grid. (3 points each) 1. y = 3x -6 2. y = -1/4x +0 Slope : 3 Slope : -1/4 Y- Intercept : -6 Y- Intercept : 0 (this is the origin) A B C D line B has a y- Intercept of -2. The Slope is -3/4, so if you count down three and right 4, you will end up on the next point on the line . The Slope is negative, so you can immediately eliminate letter D since its Slope is positive.
