I am really not understanding how to find the slope. I have a graph with the coordinates (-3,3) and (1,-5). If someone could hel p explain how to find the slope it would be greatly appreciated!
2 answers:
The slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1) given (-3,3) and (1,-5) slope=(-5-3)/(1-(-3))=(-8)/(1+3)=-8/4=-2 the slope is the rise/run or change in y divided by change in x, from left to right so (-3,3) to (1,-5) (x,y) from 3 to -5 is down 8 or -8 from -3 to 1 is up 4, or 4 rise/run=-8/4=-2 slope is -2
You have to take the 2 " y's " and subtract them. Then take the 2 " x's " and subtract them. After that divide the y's over the x's and you will get the slope. For example, -5-3=-8. Then 1-(-3)=4. Then -8/4=-2. The slope is -2.
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First you find the circumference:
C=2
r=2(3.14)15=94.2 cm
Then you figure out the ratio of 150 to the entire circle:
150/360=5/12.
Then multiply:
5/12*94.2= 39.25 cm.
Therefore, the length of the arc if about 39.25cm.