SOLUTION: Please help me answer the following question: Given the points ( 4 , 2 ) and (7, k ). Find the value of k if the slope of the lin e containing the two points is 11/6.

Question 831412: Please help me answer the following question:
Given the points ( 4 , 2 ) and (7, k ). Find the value of k if the slope of the lin e containing the two
points is 11/6.
Found 2 solutions by stanbon, Elomeht:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given the points ( 4 , 2 ) and (7, k ). Find the value of k if the slope of the lin e containing the two
points is 11/6.
--------
Equation:
(k-2)/(7-4) = 11/6
-------
k-2 = 3(11/6)
-------
k-2 = 11/2
------
k = 11/2+4/2
k = 15/2
k = 7.5
----------------
Cheers,
Stan H.
================
Answer by Elomeht(22) (Show Source): You can put this solution on YOUR website!
1. The slope of the line is (k - 2)/(7 - 4), which amounts to (k - 2)/3
2. If the slope is 11/6, then we can write:
11/6 = (k - 2)/3
3. Multiply the equation by 6. We now have:
11 = 2k - 4
4. From the above, 15 = 2k; or k = 7.5
RELATED QUESTIONS
Please help me with this question! Given the function k described by K(x) = 3x, find... (answered by jim_thompson5910)
I have been struggling on this problem and I was wondering if someone could please help... (answered by nerdybill)
given e(-4,k) and f(k,8). find k if the slope of ef is 3/4. (answered by jim_thompson5910)
Please help me solve this problem. Find the value of K so the given line has the given (answered by reviewermath)
Use an equation to find the value of k so that a line that passes through the given... (answered by stanbon)
If the slope of AB is −4/7 and A (3,k+2) and B (k-8, 4) find the value of k. (answered by josgarithmetic)
E=(-4,K) AND F=(K,7) THE SLOPE OF EF IS 2/3, SOLVE FOR... (answered by stanbon)
Find the value of k so that the line through the given points has slope m. (k+1,... (answered by stanbon)
Find the value of k if points L(4,3), Y(k,7), and Z(k+5, 28) are... (answered by stanbon)