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Using slope/intercept
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How do you use the slope/intercept equation
to solve problems?
SPI: 706.3.12
Activator:
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Write the following problem in function form:
6x – 3y = 18
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Y = 2x + -6 or y = 2x – 6
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This form is also known as: slope/intercept: y = mx + b
What is slope/intercept?
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Slope/intercept is the equation that relates
every x coordinate with its y coordinate. It is
written as “y =“
Y = mx + b
m = slope and b = y-intercept
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Once an equation is in slope/intercept form
you can identify the slope as the coefficient
of x and the y-intercept as the constant.
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Example: y = -¼x + 7
slope = -¼ y-intercept = 7
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Matching an equation w/ a line
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http://math123xyz.com/Nav/Algebra/Quick_G
raph_with_Slope-Intercept_Practice.php
Graphing slope/intercept
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To graph slope intercept plot a point on the yaxis or the y-intercept (The # you got for b)
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Next, use the slope to find the next point.
Remember to move the correct directions.
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Examples:
Graph: y = 3x - 4
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y = 1/3x +2
y = -x
Extra Info:
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Parallel lines have the same slope.
Example: y=2/3x + 5 and y=2/3x -4
Perpendicular lines have the negative
reciprocal of each others slope
Example: y=2/3x + 4 and y=-3/2x + 3
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What is a parallel line to y = 1/5x + 4
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What is a perpendicular line to y=1/5 + 4
Practice Pre-Algebra wb pg. 109