SOLUTION: If the lines 4x-y+2=0 and x+2ky+1=0 are perpendicular to each other, determine the value of k

SOLUTION: If the lines 4x-y+2=0 and x+2ky+1=0 are perpendicular to each other, determine the value of k

Algebra.Com

Question 931563: If the lines 4x-y+2=0 and x+2ky+1=0 are perpendicular to each other, determine the value of k
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
For a line in the general form,
,

so

and

we require that

therefore...

so

RELATED QUESTIONS
If two circles {{{ x^2 + y^2 + 2x + 2ky + 6 = 0 }}} and {{{ x^2 + y^2 + 2ky + k = 0 }}}... (answered by MathLover1,ikleyn)

Find the value of k for which the lines (k + 1)x � 4y + 10 = 0 and y = (5/k)x + 11 are... (answered by josgarithmetic)

determine the values of k for which the system kx+2ky+3kz=4k x+y+z=0 2x-y+z=0 has... (answered by ikleyn)

Determine the values of K for which the following system has a nonzero... (answered by ankor@dixie-net.com)

Find the value of k if the lines 2x-3y=5 and 6x-(k+1)y =1 are... (answered by josgarithmetic)

Find the slope of each line and determine if the lines are parallel, perpendicular, or... (answered by bucky)

Find whether the two lines are perpendicular to each other. y=5-3x 3x-y=8 Write (answered by shree840)

Determine the values of K for which the following system has a nonzero... (answered by solver91311)

For what value(s) of k will the lines kx+5y=2 and 2x+(k+3)y=4 be: a) parallel to... (answered by ankor@dixie-net.com)