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Published byClaribel Park Modified over 8 years ago
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warm up Write the slope and y-intercept for the following linear functions 1.y = 4x – 6 2.y = -3x + 2 3.y = 4 – 2x 4.y = 1/3x + 4 5.y = -2/3x
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HW check On the paper I pass out to you (make sure and put your name at the top) Work out the following problems on your own, you may use your notes
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Slope Intercept Form of a line The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept Y=mx + b Slope = m Y-intercept = b
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Point Slope form The point slope form of the equation of the line through (x 1, x 2 ) with the slope m is y – y 1 = m(x - x 1 ) 1.Write the point slope form 2.Substitute slope and the point into the equation 3.simplify the expression
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Put the slope and point into point slope form m = 4(1,3) m = ⅔(-3, 4) m = -2(-1, -3)
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Put the slope and point into point slope form simplify to slope intercept m = - ⅔ (-3, 2) m = 7(2, -4) m = -2(7, 3)
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Put the slope and point into point slope form simplify to slope intercept m = 5/2 (-3, 0) m = - 7(4, 2) m = 0(-2, -3)
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Use the slope and the point to write the equation of the line shown in the graph
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Given two points how would we find the intercepts?
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The points (4,8) and (-1,-12) are on a line, find the intercepts of that line
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The points (2,15) and (-4,-3) are on a line, find the intercepts of that line
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word Problems Read through the entire problem Write down what you need for your answer Write down what you are given Consider possible ways that you can solve the problem
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application
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Point slope form What is point slope form? What is slope intercept form? What is the equation to find slope?
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