algebra 1 standard form
TRANSCRIPT
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Agenda Tuesday, Nov. 30
Do Now
homework 13 p. 301 # 4 - 14, 16, 18 - 24, 40 - 42
Homework Check
6-3 Standard Form Examples 1 - 3
Quiz on 6.1 - 6.3 Thursday
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HW CHECK
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Do Now
With your partner, please complete both sides of the handout. These will be most of your notes for this section.
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Standard Form of a Linear Equation
Ax + By = CA,B, & C are all real numbers and A and B are not both zero
3x + 4y = 8A = 3, B = 4 and C = 8
Useful for graphing.
Find the x and y intercepts. What is the value of y at the x-intercept? y = 0What is the value of x at the y-intercept ?
x = 0
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8/3
x y
0
0
3x + 4y = 8
Solve for the x and y intercepts.
3x + 4y = 83x + 4(0) = 83x = 8x = 8/3
3x + 4y = 83(0) + 4y = 8 y = 2
Substitute 0 for the x to find y intercept.
2
Substitue 0 for y to find the x intercept.
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x y
0
0
2
8/3
(0,2) = y-intercept(8/3, 0) - x-intercept
plot both points & draw your line
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x y
0
0
You try:Find the x and y intercepts and graph the equation 4x - 9y = 12
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WHITEBOARD PRACTICE
What are the x and y-intercepts?
x + 2y = 18(18, 0) (0, 9)
-5x + y = 30 (-6, 0) (0, 30)
-2x - 3y = -12 (6, 0) (0, 4)
What is the equation of each line in Standard Form?
x = 3 y = 1 x = 0