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 =
+
:
y =
+ 7
:
That makes
} the slope, the problem said the slope was 4/3; therefore:
=
:
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 =
x +
y =
x + 7; m = 4/3 as required
:
:
Did this make sense?
