SOLUTION: how do u determine the value of r so the line passing through each pair of points has the given slope. (6,3) , (r,2), m= 1\2

Algebra ->  Linear-equations -> SOLUTION: how do u determine the value of r so the line passing through each pair of points has the given slope. (6,3) , (r,2), m= 1\2      Log On


   



Question 235185: how do u determine the value of r so the line passing through each pair of points has the given slope. (6,3) , (r,2), m= 1\2
Found 2 solutions by MathPro, ankor@dixie-net.com:
Answer by MathPro(14) About Me  (Show Source):
You can put this solution on YOUR website!
Good Evening,
Let’s start with the equation of a line:
y=mx+c
where m is the slope and c is the intercept on the y axis.
You are given two sets of coordinates and a value for m so let’s insert these values for x, y and m into the equation of a line :
(1) for x=6,y=3 we get 6=(1/2)3+c
(2) for x=r,y=2 we get 2=(1/2)r +c
Now we have two equations and two unknowns. From equation (1) we get c=0 so lets put this into equation (2) to solve for r:
2=(1/2)r + 0
Multiply both sides by 2 to get r =4.
Good Luck!
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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how do u determine the value of r so the line passing through each pair of points has the given slope.
(6,3) , (r,2), m= 1\2
:
Use the slope formula: %28y2-y1%29%2F%28x2-x1%29 = m
:
%282-3%29%2F%28r-6%29 = 1%2F2
:
%28-1%29%2F%28r-6%29 = 1%2F2
Cross multiply
1(r-6) = -1(2)
r - 6 = -2
r = -2 + 6
r = 4
:
Find the equation using the point/slope formula
y - 3 = 1%2F2(x - 6)
y - 3 = 1%2F2x - 3
y = 1%2F2x - 3 + 3
y = 1%2F2x
:
Check the points 6,3 and 4,2 in the equation