How do you find the value of r so the line that passes through each pair of points has the given slope.
(-2,r), (6,7), m=1/2. How do you find r?
You have two points, which can be labeled (x1, y1) and (x2, y2).
The formula for the slope between two points is m = (y2 - y1 )/(x2 - x1).
We can fill in the pieces:
1/2 = (7 - r)/(6 - (-2))
0r (7 - r)/(6 + 2) = 1/2
(7 - r)/8 = 1/2
Now multiply both sides by 8 to clear 8 from the denominator on the left:
(7 - r) = 8(1/2)
7 - r = 4
r = 3
slope is rise over run
r-7 = 1
we start by simplifying as much as we can
r-7 = 1
next we get rid of the denominators by cross multiplying. we multiply the bottoms by the tops on the other side of the equation
then we distribute the 2 a(b+c)=ab+ac
then cancel the 14 by adding 14 to both sides
then cancel the 2 by dividing both sides by 2
so r has to be 3
did you understand if you have any questions please comment.