Slope of the line .

Calculate the slope of the line that passes through the point (p;q) and (p-4;q+4) .

Expert Answers

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The slope of a line passing through two points (x1 , y1) and (x2, y2) is m = (y2 - y1)/(x2 - x1)

Here we have the points with the coordinates (p;q) and (p-4;q+4) .

The slope of the line passing through them is

m = (q + 4 - q)/(p - 4 - p)

=> 4/-4

=> -1

The slope of the line passing through the points is -1.

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To find the slope of a line, we use the formula

m = (y1 - y2)/(x1 - x2).

In this case, your p value is x and your q value is y.  We know that, for any number, q1 - q2 is going to equal -4.  This is because q2 is q + 4.  So if q = 1, q2 = 5 and q1 - q2 = -4.  Conversely, p1 - p2 is going to equal 4.  This is because p2 is p -4.  So if p = 1, p2 = -3 and p1 - p2 = 4.

So, this means that in our formular for the slope,

m = -4/4

m = -1

The slope of this line is -1.

 

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