By using the concept of slope and 2-D coordinate geometry we come to know that value of r is to be -4 so that slope of line is to be -5.
We know very well that if two co-ordinates are given pointing to co-ordinates (x1,y1) as first point and(x2,y2) as second point
Slope is also represented in terms of angle. tanα is used to represent slope in mathematics.
In that slope is given by [tex]\frac{y2-y1}{x2-x1}[/tex]
So, here first point is(-2,6) and second point is(r,-4),and also slope of line is given to us as 5
Therefore, slope=[tex]\frac{y2-y1}{x2-x1}[/tex]
=> -5=[tex]\frac{(-4-6)}{r-(-2)}[/tex]
After solving this we get r as -4.
Hence the value of r is to -4 so that slope of line will be -5.
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