SOLUTION: find the value of k so that the line has slope m: (k+1)x+2y=6 and m= -1/3

Question 305144: find the value of k so that the line has slope m:
(k+1)x+2y=6 and m= -1/3
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
find the value of k so that the line has slope m:
(k+1)x+2y=6 and m= -1/3
.
First, take:
(k+1)x+2y=6
and manipulate it into the "slope-intercept" form:
y = mx + b
(k+1)x+2y=6
2y = -(k+1)x + 6
dividing both sides by 2:
y = (-(k+1)/2)x + 3
Now, we know the slope (in terms of k) is:
m = -(k+1)/2
.
Set the above to the given slope:
-(k+1)/2 = -1/3
(k+1)/2 = 1/3
3(k+1) = 2
(k+1) = 2/3
k = 2/3 - 1
k = 2/3 - 3/3
k = -1/3

RELATED QUESTIONS
Find the value of k so that the line has slope m: (k + 1)x + 2y = 6 and (answered by stanbon)

Find the value of k so that the line has slope m: (k + 1)x + 2y = 6 and m (answered by Fombitz)

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 so that the line through the given points has slope m. 48)... (answered by MathLover1)

find the value of k so that the line through the given point has slope m. (1,k),... (answered by stanbon)

Please help me solve this problem. Find the value of K so the given line has the given (answered by reviewermath)

I have been struggling on this problem and I was wondering if someone could please help... (answered by nerdybill)

I have been working on this math problem and I was wondering if anyone could please help... (answered by jim_thompson5910)

Find the value of k so that the line has slope m: 6x + ky = 10 and m = -2 (answered by dabanfield)