Objective - To graph linear equations using x-y charts. 3:2 Graphing Linear Equations Using X-Y Charts Lesson 3.2 Graphing Linear Equations Using X-Y Charts Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = 11 x + y = 5 +3 +3 Ordered Pairs (x,y) x y 2x = 14 Solutions: 1 2 4 5 7 4 3 1 -2 2 2 x = 1, y = 4 (1,4) x = 7 x = 2, y = 3 (2,3) x = 4, y = 1 (4,1) One Solution x = 5, y = 0 (5,0) x = 7, y = -2 (7,-2) Two Solutions Infinite Solutions Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

State whether the given point is a solution to 3x - y = 5. 1) (2, 1) 2) (4, 5) 3) (-3, -14) 4) 5) (-1, 2) 3(2) - 1 = 5 Yes 3(4) - 5 = 5 No 3(-3) - -14 = 5 Yes Yes 3(-1) - 2 = 5 No Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Complete the chart and graph. y y = 2x - 3 x y -3 -2 -1 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 x -3 -1 1 3 This line represents all real solutions to y = 2x - 3. Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Solve the following equations for y. 1) 2x + y = 5 2) -x + 2y = -4 -2x -2x +x +x 2y = x - 4 y = -2x + 5 2 2 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Solve the following equations for y. 3) 3x + 5y = 10 4) -2x + 3y = -6 -3x -3x +2x +2x 5y = -3x + 10 3y = 2x - 6 5 5 3 3 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Solve the equation for y, complete the chart, and graph. 1) 3x + 2y = 4 -3x -3x y x y 2y = -3x + 4 -4 -2 2 4 6 8 2 2 5 2 x -1 -4 -7 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Solve the equation for y, complete the chart, and graph. 2) x - 3y = 6 -x -x y x y -3y = -x + 6 -6 -3 3 6 9 -4 -3 -3 -3 -2 x -1 1 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Solve the equation for y, find at least five solutions, and graph. 3) x + 2y = 8 y -x -x x y 2y = -x + 8 -4 -2 2 4 6 6 2 2 5 4 x 3 2 1 Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series