If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Answer:
Step-by-step explanation:
with the largest measure
Find a common denominator to begin. The common denominator is the LCM of both denominators. In this case, the common denominator will be 24.
Now, multiply the numerator by the number you multiplied the denominator. For 2/3, you multiplied 3 by 8, so multiply 2 by 8 to get 16. The fraction is now 16/24. Multiply 4 by 3 since you multiplied 8 by 3 to get 24. You will get 12 and the fraction will become 12/24.
Then, compare. 16/24 is closer to 24/24, or one whole, so 16/24, or 2/3, is greater.