Explain how to determine whether two known pairs of
points are on the same line.

Use the slope formula three times: once for the first pair of points, then for the second pair of points, then for one point from each pair. If all three slopes are the same, then all the points lie on the same line.

Step-by-step explanation:

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Use the slope formula three times.

If the slopes of both pairs are equal, then the lines may be parallel.

If all three slopes are equal, including the slope using one point from each pair,

then all the points coincide on the same line.

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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