Atotal of 8644 people went to the football game of those people 5100sat on the home side and the rest sat on the visitors side if the people sitting on the visitors side filled 8 equally sized sections about how many people sat in each of the sections?

443 people sat in each of the sections.

Step-by-step explanation:

Hi, to solve this problem we have to subtract the people that sat on the home side to the total number of people that went to the football game.

So:

We have calculated the number of people that sat on the visitor's side.

Now, we have to divide that number by 8 (there are 8 sections).

So,  the answer is: 443 people sat in each of the sections

Feel free to ask for more if it´s necessary or if you did not understand something.

A general line equation can be written as:

Where a is the slope and b is the y-intercept.

Here we will find that for N(x₁, y₁), the line q is:

If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

In this case, we know that the line passes through (-4, -4) and (2, 3), then the slope is:

So the line is something like:

To find the value of b, we can use one of the two points, for example (2, 3) means that when x = 2, y must be equal to 3, then we can replace these two in the line equation to get:

Then the line LM is;

Now we know that line q is in the same coordinate plane, but does not intersect LM. This means that these lines are parallel, and remember that two parallel lines have the same slope, then the slope of line q is also 7/6.

Now we know that line q passes through point N, but we do not know the coordinates of point N, then let's use general coordinates as N(x₁, y₁)

Then line q will be:

To find the value of c we use the point N.

Then the equation of line q is:

If you want to learn more, you can read: