Algebra 1 Notes Lesson 4-5: Graphing Linear Equations
1) Can be written in standard form Vocabulary Linear Equation 1) Can be written in standard form 2) Exponents of variables are 1
Standard Form Ax + By = C A ≥ 0 A and B are not both zero A, B, and C are integers that cannot be reduced
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 1 -3x + 4y = 10
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 1 -3x + 4y = 10 NO
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 1 -3x + 4y = 10 NO Why not?
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 2 0x + 0y = 20
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 2 0x + 0y = 20 No
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 2 0x + 0y = 20 No Why not?
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 3 10x + 2y = 6
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 3 10x + 2y = 6 No
“IS THIS….. In standard form?!?!?!” GAME TIME!!!! “IS THIS….. In standard form?!?!?!” Round 3 10x + 2y = 6 No Why not?
“IS THIS….. A linear equation” NEW GAME!!!!! “IS THIS….. A linear equation” If so, write it in standard form Round 1 5x + 3y = z + 2
5x + 3y = z + 2 Not a linear equation
Round 2 linear
Round 3
Round 3 Linear!
Example 2 Graph by making an xy chart Solve for x or y Plug in 3 numbers for other variable (be smart) Graph points
Example 2 X Y -2 -1 1 2
Example 2 X Y -2 -1 1 2
Example 2 X Y -14 -2 -1 1 2
Example 2 X Y -14 -2 -1 1 2
Example 2 X Y -14 -2 -10 -1 1 2
Example 2 X Y -14 -2 -10 -1 1 2
Example 2 X Y -14 -2 -10 -1 -6 1 2
Example 2 X Y -14 -2 -10 -1 -6 1 2
Example 2 X Y -14 -2 -10 -1 -6 1 2
Example 2 X Y -14 -2 -10 -1 -6 1 2
Example 2 X Y -14 -2 -10 -1 -6 1 2
Example 2
Homework Pg 221 16 – 40 (even)
Vocabulary x-intercept – Where line crosses x axis y-intercept – Where line crosses y axis
Graph using intercepts -Second method of graphing a line Advantages Disadvantages
Graph using intercepts -Second method of graphing a line Advantages Quick Disadvantages
Graph using intercepts -Second method of graphing a line Advantages Quick 2) Easy Disadvantages
Graph using intercepts -Second method of graphing a line Advantages Quick 2) Easy Disadvantages One mistake ruins it
Graph using intercepts -Second method of graphing a line Advantages Quick 2) Easy Disadvantages One mistake ruins it Can not graph a line through origin
Example 3 4x – y = 4 To find the x-intercept, let y = 0. 4x – 0 = 4
Example 3 To find the x-intercept, let y = 0. 4x – 0 = 4 4x = 4 4 4
Example 3 To find the x-intercept, let y = 0. 4x – 0 = 4 4x = 4 4 4 x = 1
Example 3 To find the x-intercept, To find the y-intercept, let y = 0. let x = 0. 4x – 0 = 4 4x = 4 4 4 x = 1
Example 3 To find the x-intercept, To find the y-intercept, let y = 0. let x = 0. 4x – 0 = 4 4(0) – y = 4 4x = 4 4 4 x = 1
Example 3 To find the x-intercept, To find the y-intercept, let y = 0. let x = 0. 4x – 0 = 4 4(0) – y = 4 4x = 4 0 – y = 4 4 4 x = 1
Example 3 To find the x-intercept, To find the y-intercept, let y = 0. let x = 0. 4x – 0 = 4 4(0) – y = 4 4x = 4 0 – y = 4 4 4 -y = 4 x = 1
Example 3 To find the x-intercept, To find the y-intercept, let y = 0. let x = 0. 4x – 0 = 4 4(0) – y = 4 4x = 4 0 – y = 4 4 4 -y = 4 -1 -1 x = 1
Example 3 To find the x-intercept, To find the y-intercept, let y = 0. let x = 0. 4x – 0 = 4 4(0) – y = 4 4x = 4 0 – y = 4 4 4 -y = 4 -1 -1 x = 1 y = -4
Example 3 The x-intercept is 1, so the graph intersects the x-axis at
Example 3 The x-intercept is 1, so the graph intersects the x-axis at (1, 0). The y-intercept is -4, so the graph intersects the y-axis at
Example 3 The x-intercept is 1, so the graph intersects the x-axis at (1, 0). The y-intercept is -4, so the graph intersects the y-axis at (0, -4).
Example 3
Homework Pgs. 221-222: 28-44 Evens Graph with intercepts 46 – 53 (all)