1 Teacher: Ms. Wigfall Quiz Graphing Linear Equations Contents of Slide show This slide show will give you a quiz and the solutions. You may want to take the quiz before looking at the solutions. However, you can work backwards if you do not know how to do the problems. Study the solutions and use them to practice. GOOD LUCK. Technicalities For Running Slide Show You will need to use the enter key to progress through this slide show. For most effective use, use the enter key slowly. Read each new bit of information before entering for more information. Prerequisite This is a beginning level graphing problem. However, in order to do this quiz, you have to be familiar with the slope-intercept form of the equation, y = mx + b. Enter for next slide

2 Quiz Problems Graphing Linear Equations #1.) Give the equation of the line through (2,2) and (4,4). #2.) Give the slope of the line through (2,2) and (4,4). #3.) Give the equation of the line with slope -4/3 and y- intercept of 5. #4.) Graph this equation. Y = - 4/3x + 1 Suggestion: If you have not already done this quiz, you may want to take the quiz before looking at the solutions. Enter for next slide

3 Quiz Solution Graphing Linear Equations #1.) Give the equation of the line through (2,2) and (4,4). Try to do the problem yourself before hitting enter to get the solution. You can use the screen below to write on with the mouse or you can use pencil and paper.

4 Quiz Solution Graphing Linear Equations First: Plot the two points then connect the line. Second: You will SEE that the y-intercept is 0. Third: You will also see that the slope is rise 2 and run 2 which is same as rise 1 and run 1 which gives you a slope of m = 1/1 = 1. Fourth: Compare to slope-intercept form of equation y = mx + b.b. Get y = 1x + 0 which gives #1.) Give the equation of the line through (2,2) and (4,4). Solution: Answer: y = x y-axis x-axis Enter for next slide (2,2) (4,4)

5 Quiz Solutions Graphing Linear Equations #2.) Give the slope of the line through (2,2) and (4,4). Try to do the problem yourself before hitting enter to get the solution. You can use the screen below to write on with the mouse or you can use pencil and paper.

6 Quiz Solutions Graphing Linear Equations First: Plot the two points then connect the line. Second: You will SEE that the y-intercept is 0. Third: You will also see that the slope is rise 2 and run 2 which is same as rise 1 and run 1 which gives you a slope of 1/1 = 1. #2.) Give the slope of the line through (2,2) and (4,4). Solution: Answer: The slope is 1. Y-axis x-axis Enter for next slide (2,2) (4,4)

7 Quiz Solution Graphing Linear Equations #3.) Give the equation of the line with slope -4/3 and y-intercept 5. Try to do the problem yourself before hitting enter to get the solution. You can use the screen below to write on with the mouse or you can use pencil and paper.

8 Quiz Solution Graphing Linear Equations Remember: To have an equation of a line all you need to know is the slope and y-intercept. First: Substitute the slope (m) and y-intercept (b) into the slope-intercept form of the equation. y = mx + b Get ANSWER: y = -4/3x + 5 #3.) Give the equation of the line with slope -4/3 and y-intercept 5. Solution: Enter for next slide

9 Quiz Solution # 4.) Graph y = - 4/3x + 1 Try to do the problem yourself before hitting enter to get the solution. You can use the screen below to write on with the mouse or you can use pencil and paper.

10 Quiz Solution First: Compare the equation to y = mx + b y = - 4/3x + 1 Second: You will SEE that the y-intercept is 1. Third: You will also see that the slope is rise -4 and run 3 which is same as rise 4 and run -3 which gives you a slope of -4/3. Fourth: Plot the y-intercept point. Fifth: Do the slope rise and run and plot the points. Sixth: Connect the points with a line. # 4.) Graph y = - 4/3x + 1 Solution: Answer: SEE GRAPH Y-axis x-axis Enter To Go To Beginning EXIT