REVIEW GRAPHING LINEAR EQUATIONS A REVIEW OF SECTIONS 4.2, 4.3, AND 4.5 Mike HagedornCEP 811 STaIR

Standards A3.1.1 Write the symbolic forms of linear functions (standard, point-slope, and slope- intercept) given appropriate information, and convert between forms. A3.1.2 Graph lines (including those of the form x = h and y = k) given appropriate information. A3.1.3 Relate the coefficients in a linear function to the slope and x- and y-intercepts of its graph. Objectives The learner will review the three different methods of graphing linear equations. The learner will be given specific equations and/or story problems and will be forced to decide with method is the most efficient STANDARDS AND OBJECTIVES

INTRODUCTION This project is designed to allow students to review graphing linear equations on their own. Use this project as a way to prepare yourself for the test. Take your time and make sure you are fully comfortable with the content. There will be links throughout this project that will take you to various web pages and help clarify any misunderstandings. DIRECTIONS Go through each this project by clicking the arrows Go through and review each method. If you need to review something, you may click the back button. Once you have completed the review, complete the practice quiz and attempt to answer them correctly If you feel you need to review some more, click the home button. There will also be various links throughout to help you which will be underlined in red for you to click on if needed Move on to the next section

VOCABULARY TO KNOW Ordered pair Linear equation X-intercept Y-intercept Slope Slope intercept form

GRAPH LINEAR EQUATIONS USING TABLES x-2012 Y

x y LET’S PRACTICE

GRAPH LINEAR EQUATIONS USING INTERCEPTS To find each intercept To find x-intercept:To find y-intercept: Let y = 0, Let x = 0, then solve for xthen solve for y Once you have the two intercepts, plot them on a graph and connect the dots! There’s the graph for that equation.

EXAMPLE SOLVING AND GRAPHING INTEREPTS

LET’S PRACTICE

GRAPH LINEAR EQUATIONS USING SLOPE- INTERCEPT FORM Slopey-intecept

TO GRAPH USING SLOPE-INTERCEPT FORM Rise Run

LET’S PRACTICE slope y-intercept

PRACTICE QUIZ!!!!!! Choose the correct letter for each question Be sure took look closely at all information before selecting a choice Take your time. Use pencil and paper if you need to

Which table matches the following graph a) b) c) d) PROBLEM #1 x y x y x y x y

a)x-intercept: 10 (10, 0) y-intercept: -16 (0, -16) b) x-intercept: -10 (-10, 0) y-intercept: 16 (0, 16) c)x-intercept: 8 (8, 0) y-intercept: -5 (0, -5) d)x-intercept: -8 (-8, 0) y-intercept: 5 (0, 5) PROBLEM #2

PROBLEM #3 a) b) c) d)

The slope and y-intercept of the following graph are? a)Slope (m):4 y-intercept (b):-7 b)Slope (m):-4 y-intercept (b):-7 c)Slope (m):4 y-intercept (b):7 d)Slope (m):-4 y-intercept (b):7 PROBLEM #4

PROBLEM #5 a) b) c) d)

Be sure to check your math and watch your signs. TRY AGAIN…

Put in zero for one variable, then solve for the other TRY AGAIN… Here is a video to help solve for the x and y intercept

Look closely at the signs of the values and match them on the graph TRY AGAIN…

Try counting the grid lines to help. TRY AGAIN…

Remember our steps to graph using slope- intercept form Start with ?????, then apply???? TRY AGAIN…

GREAT JOB!!!!

Push for the next problem

CONGRATULATIONS!!!! You completed the tutorial and now are ready for the test. Push esc button