Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = x = 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 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) = 5 Yes 3(-1) - 2 = 5 No
Complete the chart and graph. y = 2x - 3 xy (-3) - 3 = -9 2(-2) - 3 = x y
x y Complete the chart and graph. y = 2x - 3 xy (-3) - 3 = -9 2(-2) - 3 =
x y Complete the chart and graph. y = 2x - 3 xy (-3) - 3 = -9 2(-2) - 3 =
x y Complete the chart and graph. y = 2x - 3 xy (-3) - 3 = -9 2(-2) - 3 =
x y Complete the chart and graph. y = 2x - 3 xy (-3) - 3 = -9 2(-2) - 3 =
x y Complete the chart and graph. y = 2x - 3 xy (-3) - 3 = -9 2(-2) - 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 Solve the following equations for y. (Function Form)
3) 3x + 5y = 10 4) -2x + 3y = -6 -3x 5y = -3x x 3y = 2x 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 xy
x y 2) x - 3y = 6 -x -3y = -x xy 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 xy