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1-29-13 Finding slope, writing equations of lines, graphing given a linear equation EQ: How are linear equations useful in the real world?. BOP. Draw and Complete the Table of Values y = x + 2. BOP. -2 0 3 5 6. -2 0 3 5 6. Check Homework - Triangle Task. y = unit rate (x)
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1-29-13 Finding slope, writing equations of lines, graphing given a linear equation EQ: How are linear equations useful in the real world? BOP Draw and Complete the Table of Values y = x + 2
-2 0 3 5 6
-2 0 3 5 6
y = unit rate (x) Proportional relationship; line goes through 0 y = mx + b Linear equation; line goes through a number other than 0
SLOPE http://www.youtube.com/watch?v=FmIhlc1bJuA
positive negative zero undefined
SLOPE MAN _ + U U 0 0
PRE-ALGEBRA LESSON 8-3 rise run 4 1 rise run –6 3 slope = = = 4 slope = = = –2 Find the slope of each line. a. b. 8-3
PRE-ALGEBRA LESSON 8-3 difference in y-coordinates difference in x-coordinates 0 – 5 –2 – 7 –5 –9 5 9 slope = = = = Find the slope of the line through E(7, 5) and F(–2, 0). 8-3
PRE-ALGEBRA LESSON 8-3 –3 – (–3) 4 – (–2) 0 6 –1 – 3 –2 – (–2) –4 0 slope = = = 0 slope = = Find the slope of each line. a. b. Slope is 0 for a horizontal line. Division by zero is undefined. Slope is undefined for a vertical line. 8-3
PRE-ALGEBRA LESSON 8-3 1 5 Step 2 Since the slope is – , move 1 unit down from (0, 4). Then move 5 units right to graph a second point. A ramp slopes from a warehouse door down to a street. The function y = – x + 4 models the ramp, where x is the distance in feet from the bottom of the door and y is the height in feet above the street. Graph the equation. 1 5 Step 1 Since the y-intercept is 4, graph (0, 4). Step 3 Draw a line through the points. 8-3
PRE-ALGEBRA LESSON 8-3 4 3 – ; 3 Find the slope of the line through each pair of points. 1.A(2, 4), B(–2, –4) 2.F(–5, 1), G(0, –9) 3. Identify the slope and y-intercept of y = – x + 3. Then graph the line. 2 –2 4 3 8-3
http://www.youtube.com/watch?v=FmIhlc1bJuA SLOPE http://www.youtube.com/watch?v=mK-BZs1uVZM Y = mx + b
Summary: Don’t forget to write your minimum three sentence summary answering today’s essential question here! HW: Re-teaching 8.3 page 133 and Practice 8.3 Page 134 in workbook