Find an equation of the line that satisfies the given conditions. Through
(−3, 2) and (−2, −5)

Step-by-step explanation:

y=mx+b, where m=slope and b=y intercept

m=(y2-y1)/(x2-x1), we have points (-3,2) and (-2,-5) so

m=(-5-2)/(-2-(-3))

m=-7/1

m=-7, now our line is

y=-7x+b, using point (-3,2) we can solve for b

2=-7(-3)+b

2=21+b

b=-19, so the completed line is

y=-7x-19

y=−7x−19

Step-by-step explanation:

hello,

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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step-by-step explanation: