# 1245712457 2 Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = 11 +3 2x = 14 x = 7 One Solution.

## Presentation on theme: "1245712457 2 Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = 11 +3 2x = 14 x = 7 One Solution."— Presentation transcript:

1245712457 2 Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = 11 +3 2x = 14 x = 7 One Solution Two Solutions x + y = 5 Solutions: x = 1, y = 4 x = 2, y = 3 x = 4, y = 1 x = 5, y = 0 x = 7, y = -2 Ordered Pairs (x,y) (1,4) (2,3) (4,1) (5,0) (7,-2) x y 4 3 1 0 -2 Infinite Solutions

Determine whether the ordered pair is a solution to the given equation. Not a solution It is a solution It is a solution Not a solution ? ? ? ?

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 3(-1) - 2 = 5 No

Complete the chart and graph. y = 2x - 3 xy -3 -2 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 -3 1 3 x y

x y Complete the chart and graph. y = 2x - 3 xy -3 -2 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 -3 1 3

x y Complete the chart and graph. y = 2x - 3 xy -3 -2 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 -3 1 3

x y Complete the chart and graph. y = 2x - 3 xy -3 -2 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 -3 1 3

x y Complete the chart and graph. y = 2x - 3 xy -3 -2 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 -3 1 3

x y Complete the chart and graph. y = 2x - 3 xy -3 -2 0 1 2 3 2(-3) - 3 = -9 2(-2) - 3 = -7 -5 -3 1 3 This line represents all real solutions to y = 2x - 3.

1) 2x + y = 5 2) -x + 2y = -4 -2x y = -2x + 5 +x 2y = x - 4 2 Solve the following equations for y. (Function Form)

3) 3x + 5y = 10 4) -2x + 3y = -6 -3x 5y = -3x + 10 5 +2x 3y = 2x - 6 3 Solve the following equations for y. (Function Form)

x y Solve the equation for y, complete the chart, and graph. 1) 3x + 2y = 4 -3x 2y = -3x + 4 2 xy -4 -2 0 2 4 6 8 5 2 -4 -7

x y 2) x - 3y = 6 -x -3y = -x + 6 -3 xy -6 -3 0 3 6 9 -4 -3 -2 0 1 Solve the equation for y, complete the chart, and graph.

x y Solve the equation for y, find at least five solutions, and graph. 3) x + 2y = 8 -x 2y = -x + 8 2 xy -4 -2 0 2 4 6 6 5 4 3 2 1

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