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Slope of a line is like the slope of a hill., Summaries of Advanced Calculus

We can tell that this must have a positive value for its slope. Negative Slope. Find the slope of a line: use the letter m to represent slope.

Typology: Summaries

2022/2023

Uploaded on 02/28/2023

anjushri
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Download Slope of a line is like the slope of a hill. and more Summaries Advanced Calculus in PDF only on Docsity! Slope of a line is like the slope of a hill. Slope is the amount of CHANGE from one place to another. P ul l P ul l Grab the line with the right- hand circle and drag along the bear's path. What is Slope? Slope tells us the steepness of a line, or how quickly a line is rising or falling. pageNotes slope = vertical change horizontal change rise run = It is the ratio of the RISE to the RUN = y x o\ Wo 1. Find the slope of the treadmill. rise run — \D_ 43 = |}5 Simplify. lofebd 4% —— pi ; Q4 |- 48 in. -| slope = Definition of slope Got It? Do this problem to find out. a. A hiking trail (SSSR. for every QEEEEEEED change of @OOHEED What is the slope of the hiking trail? S)ppe = TS¢ ee |2 Bun Jee 20) 2. The graph shows the cost 10 of muffins at a bake sale. 9 \ Find the slope of the line. ° 2 Choose two points on the 2 6 L (3, 6) line. The vertical\change is S >The a andthe horizontal 3 ; (2, 4) change is __ | 2 slope = rise & Definition of slope a 2 123456789*%* = —_ Muffins Purchased The slope of the line is = on Got It? Do this problem to find out. Find the slope of the line. b. hy t 4 se 3 7A \ e= — BD me Ran Undefined Slope (No Slope) Find the slope of a line: use the letter m to represent slope x y 0 Look at the graph above. Notice the line does not go from left to right. Instead, it is a vertical line. We can tell that this line has an undefined slope. (-5, 6) (-5, 0) Zero Slope Find the slope of a line: use the letter m to represent slope x y 0 (-1, 1) (3, 1) Look at the graph above. Notice the line goes from left to right without increasing or decreasing. There is zero change. We can tell that this must have a zero value for its slope. Directions: 1. Use the slope formula to find the slope between the two given points. 2. Graph the two points and connect them with a line 3. Calculate the slope of your line by using rise over run 4. Check your work, the slopes should be the same 5. If they are, use the slope to draw two more points on your line and connect them c. ©2,-4) and (2, 4) Oms oy epeep-& SX CD-CD ~1 (D m- Ruse 76 8 Ve emt ae A 5 > x-axis d. (0, 2) and G2, 0) 5) > x-axis Got It? Do these problems to find out. Slope Review The points given in each table lie on a line. Find the slope of the tine. Then graph the line to check your work xo I< | os nm = 3 x< > xX at & ! = ttt tt ttt bd et | tT TT The points given in the table lie on a line. Find the slope of each line. xe xe —5 3. ats 4. be by 2°54) © cL 2 wa m2 4 S76 eo “25 4 [pel 5 | 6 x 22 tS - XH md , Cadet = {S$ py GOES ol Bx oe + 6a) ‘2 Ox Cyres) -H ae Lee ca a VI Find the slope of each line. y 5. menses TAQ meAser L5_-5 | meAwe> 7S 2 fun © 5" |S fun 25 5” fun ala
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