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what is the slope for( 5/6 and -4) and -1/3 -1/3

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2 Answers

Hi Malachi;
I believe these are coordinates...
(5/6,-4) and (-1/3,-1/3)
Slope is change-of-y divided by change-of-x.
m=(y-y1)/(x-x1)
m=[(-4)-(-1/3)/[(5/6)-(-1/3)]
Subtracting a negative number is the same as adding a positive number...
m=[(-4)+(1/3)]/(5/6)+(1/3)]
-4+1/3=-3 2/3=-11/3
(5/6)+(1/3)=(5/6)+(2/6)=7/6
m=(-11/3)/(7/6)
Let's flip 7/6 in the denominator so it becomes 6/7 in the numerator.
m=(-11/3)(6/7)
(-11)(6)=-66
(3)(7)=21
m=-66/21
Both numbers are divisible by 3...
m=-22/7, -3 1/7