Find the equation on the line that contains the point

y = (1/2)x - 5 . . . . . . matches the first selection

The slope of the given line is the coefficient of x, -2. The slope of the perpendicular line will be the opposite reciprocal of that:

... -1/(-2) = 1/2

This will be the coefficient of x in the equation you're to write. You will note there is only one answer choice that has this value:

... y = (1/2)x -5

_____

You can make sure this is correct by checking the point in the equation. Substitute the values of x and y into the equation:

... -2 = (1/2)(6) -5 = 3 -5 = -2 . . . . . the given point is on this line

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:

c

step-by-step explanation: