Determine the equation of the line (u) passing through B and whose slope ​

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The value of point B is not given, so i will answer in a general way.

A general line equation is written as:

y = a*x +b

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

In this case, we know that the slope is equal to -(5/2)

Then our line is something like:

y = -(5/2)*x + b

Now we know that this line passes through the point B (but we do not know the coordinates of this point)

Then I will assume that the point B is (xₙ, yₙ)

If this line passes through that point, this means that when we evaluate our line in x = xₙ, then y = yₙ

If we replace these values in the line equation we get:

yₙ = (-5/2)*xₙ + b

then:

b = yₙ + (5/2)*xₙ

So knowing the coordinates of point B, we could find the complete equation of the line.

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step-by-step explanation: