SOLUTION: what is the slope of the line that passes through the following pairs... (-2/3, 6) (3, 9) I know the problem is M = 9-6/3-(-2/3) Im stuck after M = 3/3-(-2/3)....can someone

Algebra ->  Graphs -> SOLUTION: what is the slope of the line that passes through the following pairs... (-2/3, 6) (3, 9) I know the problem is M = 9-6/3-(-2/3) Im stuck after M = 3/3-(-2/3)....can someone       Log On


   

Question 149847: what is the slope of the line that passes through the following pairs...
(-2/3, 6) (3, 9)
I know the problem is M = 9-6/3-(-2/3) Im stuck after M = 3/3-(-2/3)....can someone help me find the slope
Found 2 solutions by scott8148, josmiceli:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
good so far __ be careful with parentheses - to many is better than not enough

M=3/[3-(-2/3)] __ M=3/(11/3) __ M=9/11

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The slope is defined as (change in y) / (change in x)
or m+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29
where the given points are
(-2/3 , 6) = (x%5B1%5D,y%5B1%5D) and
(3 , 9) = (x%5B2%5D,y%5B2%5D)
m+=+%289+-+6%29+%2F+%283+-+%28-2%2F3%29%29
m+=+3+%2F+%283+%2B+%282%2F3%29%29
m+=+3+%2F+%2811%2F3%29
m+=+9+%2F+11 answer
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check answer
A straight line has the formula y+=+mx+%2B+b
y+=+%289%2F11%29x+%2B+b
use (3,9) to find b
9++=+%289%2F11%29%2A3+%2B+b
99+=+27+%2B+11b
11b+=+72
b+=+72%2F11
Now find out if this line goes through the other point
6+=+%289%2F11%29%2A%28-2%2F3%29+%2B+72%2F11
6+=+-6%2F11+%2B+72%2F11
6+=+66%2F11
6+=+6
OK