SOLUTION: Determine the value of "r" so the line that passes through each pair of points has the given slope (6,3)(r,2) slope= 1/2

Algebra ->  Linear-equations -> SOLUTION: Determine the value of "r" so the line that passes through each pair of points has the given slope (6,3)(r,2) slope= 1/2      Log On


   

Question 159449: Determine the value of "r" so the line that passes through each pair of points has the given slope
(6,3)(r,2) slope= 1/2
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the value of "r" so the line that passes through each pair of points has the given slope
(6,3)(r,2) slope= 1/2
:
Use the slope formula: %28%28y2-y1%29%29%2F%28%28x2-x1%29%29 = m
;
Assign the given values as follows:
x1=6; y1=3
x2=r; y2=2
m = 1/2
:
%28%282-3%29%29%2F%28%28r-6%29%29 = 1%2F2 = %28%28-1%29%29%2F%28%28r-6%29%29 = 1%2F2
Cross multiply:
r - 6 = 2(-1)
r = -2 + 6
r = +4
;
;
Check solution; x2=4:
%28%282-3%29%29%2F%28%284-6%29%29 = 1%2F2
%28%28-1%29%29%2F%28%28-2%29%29 = 1%2F2