big idea : -solve systems of linear equations by graphs
TRANSCRIPT
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Big Idea:
-Solve systems of linear equations by graphs.
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Slope = m =
There are 4 types of slopes:Remember to read the line from left to right.
vertical change (rise)
horizontal change (run)
Positive slope Negative slope
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Zero Slope No Slope
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Slope-Intercept Formy = mx + b
m = slopeb = y-intercept
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A) y = 4x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10x
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
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9
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y
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B) y = -5x - 1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10x
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
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y
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C) -2x + 4y = 6
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10x
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
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y
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Slope Formula 2 1
2 1
y ym
x x
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A) (0, 5), (-4, 9)
B) (-4, 8), (-4, 10)
C) (5, 1), (-5, -1)
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Ax + By = C (you can graph using the x- and y-
intercepts) 3x + 4y = 12
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The line through point (x1, y1) with slope m has the equation
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A) slope = 4; ( 4, 6)
B) slope = -1; (0, -9)
C) slope = 0; (5, -3)
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A) (-5, 4) and (0, 1)
B) (7, 8) and (6, -2)