01:56:2
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We know that perpendicular lines have slopes which are negative inverses of each other. This means that the slope of the line we are going to need to find is 3.
Now, we can use the point-slope formula to find the actual equation of the line we are trying to find. The point-slope formula is
, where 
and 
are the coordinates of a point on the line and m is the slope.
Thus, the equation of the line we are trying to find is:
(y - 7) = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
However, this is not an answer choice. The answers given have the constant on the right side of the equation. Thus, we will make our answer have the constant on the right side:
y - 3x = 1
-3x + y = 1
3x - y = -1
This is an answer choice. B, or 3x - y = -1 is the correct answer.
Now, we can use the point-slope formula to find the actual equation of the line we are trying to find. The point-slope formula is
Thus, the equation of the line we are trying to find is:
(y - 7) = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
However, this is not an answer choice. The answers given have the constant on the right side of the equation. Thus, we will make our answer have the constant on the right side:
y - 3x = 1
-3x + y = 1
3x - y = -1
This is an answer choice. B, or 3x - y = -1 is the correct answer.
12500 people went to fair
<h3><u>Solution:</u></h3>Given that at the county fair , 12% of the people who attended received free water bottles
1,500 people received free water bottles
To find: number of peoples went to fair
Let "a" be the number of peoples went to fair
From given information,
12% of the people who attended received free water bottles and 1,500 people received free water bottles
Which means 12% of total people is equal to 1500
12% of total people = 1500
12 % of "a" = 1500
Thus 12500 people went to fair