SOLUTION: if two straight lines :X+Y=5 and KX+2Y=0 are parallel then find k.....(with steps)
Algebra.Com
Question 807877: if two straight lines :X+Y=5 and KX+2Y=0 are parallel then find k.....(with steps)
Found 3 solutions by stanbon, TimothyLamb, richwmiller:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if two straight lines :X+Y=5 and KX+2Y=0 are parallel then find k.....(with steps)
-------
The slopes must be equal; find the slopes.
----
x+y = 5
y = -x+5
slope = -1
-------
kx + 2y = 0
2y = -kx
y = (-k/2)x
-------
Your Problem:
Solve:: -k/2 = -1
k = 2
------------------------
Cheers,
Stan H.
=====================
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
Parallel lines have equal slope.
Get both equations into slope-intercept form: y = mx + b
L1: x + y = 5
y = (-1)x + 5
L2: Kx + 2y = 0
2y = -Kx
y = (-K/2)x
For the slopes of L1 and L2 to be equal, we must have:
-1 = -K/2
Solve for K:
-1 = -K/2
K/2 = 1
K = 2
---
Check the answer: plug-in K = 2 into L2. The slopes of L1 and L2 are both -1.
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
y=-x-5
kx+2y=0
2y=-kx
y=-kx/2
k=2
RELATED QUESTIONS
If 3x+ky=7 and y=3-4x are two equations of two different lines find “k” if the lines are... (answered by josgarithmetic)
Two lines with gradients k and 5 - k are parallel. Find k (answered by Fombitz)
Find the value of k if the lines y=3/2x-5/2 and kx-6y+1=0 are parallel.
(3/2x is 3 over (answered by josgarithmetic)
If 3x+ky=7 and y=3-4x are two equations of two different lines find “k” if the lines are... (answered by josgarithmetic,ikleyn)
find the value of k so that the two given lines will be parallel: (k+2)x-5y=8 and... (answered by robertb)
Find the equations of two straight lines which are parallel to the straight line x+7y+2=0 (answered by Alan3354)
find the value of k that will make the lines 2x + y = 3 and kx + y = -1 parallel (answered by tutor_paul)
I NEED HELP. PLEASE HELP ME ASAP. THANKS BEFORE :)
1) The straight line with equation... (answered by richard1234)
What is b if the lines with equations y=bx+5 and 2y=(b+4)x-1 are... (answered by josmiceli)