SOLUTION: I tried to look through my old math books but I didn't find anything on this problem. Please help me solve this problem: Find the value of k so that the given line has the given

Algebra ->  Formulas -> SOLUTION: I tried to look through my old math books but I didn't find anything on this problem. Please help me solve this problem: Find the value of k so that the given line has the given      Log On


   

Question 88342: I tried to look through my old math books but I didn't find anything on this problem. Please help me solve this problem:
Find the value of k so that the given line has the given slope.
#5.(k+5)x+6y=42;m=4/3
Please and Thank you!!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of k so that the given line has the given slope.
:
#5. (k+5)x + 6y = 42; m=4/3
:
(k+5)x + 6y = 42 is in the standard form
:
Put equation into the slope/intercept form
6y = -(k+5)x + 42
:
y = %28-%28k%2B5%29x%29%2F6 + 42%2F6%29
:
y = %28-%28k%2B5%29x%29%2F6 + 7
:
That makes %28-%28k%2B5%29%29%2F6} the slope, the problem said the slope was 4/3; therefore:
%28-%28k%2B5%29%29%2F6 = 4%2F3
:
Multiply the equation by 6 and you have:
-(k+5) = 4(2)
-(k+5) = 8
:
Mult equation by -1, you have:
k + 5 = -8
k = -8 - 5
k = -13
:
Check our solution. Substitute for k in the original equation:
(-13+5)x + 6y = 42
-8x + 6y = 42
6y = +8x + 42
y = 8%2F6x + 42%2F6
y = 4%2F3x + 7; m = 4/3 as required
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Did this make sense?