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Slot Work Solve for x. 2 5 4 Solve for x. 30 – 7z = 10z – 4
8x – 3 = 7x + 2 w = -8w + w 4p – 10 = p + 3p – 2p Riddle:As I walked along the path I saw something with four fingers and one thumb, but it was not flesh, fish, bone, or fowl.
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Table of Contents Date Target Slope intercept form day 2
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Y = mx + b Slope-intercept Form
An equation whose graph is a straight line is a linear equation. Since a function rule is an equation, a function can also be linear. m = slope b = y-intercept Slope-intercept Form Y = mx + b (if you know the slope and where the line crosses the y-axis, use this form)
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b = -7, so the y-intercept is -7
For example in the equation; y = 3x + 6 m = 3, so the slope is 3 b = +6, so the y-intercept is +6 Let’s look at another: y = 4/5x -7 m = 4/5, so the slope is 4/5 b = -7, so the y-intercept is -7 Please note that in the slope-intercept formula; y = mx + b the “y” term is all by itself on the left side of the equation. That is very important!
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WHY? If the “y” is not all by itself, then we must first use the rules of algebra to isolate the “y” term. For example in the equation: 2y = 8x + 10 You will notice that in order to get “y” all by itself we have to divide both sides by 2. After you have done that, the equation becomes: Y = 4x + 5 Only then can we determine the slope (4), and the y-intercept (+5)
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What is the y-intercepts?
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Using slope-intercept form to write equations, Rewrite the equation solving for y = to determine the slope and y-intercept. YIP x + 2y = 8 2y = -x + 8 y = -1x + 4 2
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Find the Equation of the Line
What is the y-intercept? b = -2 What is m? m = y = x -2 x y
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Try This Yourself! Write the equation of the line
b = ? b = 1 m = ? m = - y = - x + 1 x y
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Find the Equation of the Line
b = ? b = 4 m = ? m = 0 y = 0x+4 y=4 x y
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foldable
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Hand out graph paper. Graph the following equations using slope and y-intercept Y = x – 4 Y = -2/3x +3 Y = 4x – 2 Y = -3x - 1
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homework p.294 #28-39, 50-56
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