Robin877 Robin877
  • 01-11-2018
  • Mathematics
contestada

find the value of d for which the graph of x-4y=9 will be perpendicular to the graph of dx-12y=14

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meghanbf
meghanbf meghanbf
  • 01-11-2018

Start by getting the equation x-4y=9 into y=mx+b form by isolating the y.

*Subtract x from both sides*

-4y=-x+9

*Divide both sides by -4*

y=1/4x-9/4


Do the same thing with the other equation dx-12y=14.

*Subtract dx from both sides*

-12y=-dx+14

*Divide both sides by -12*

y=d/12x-7/6


Graphs are perpendicular when their slopes are negative reciprocals.  The negative reciprocal of 1/4 is -4.  Therefore, d/12 must equal -4:

d/12=-4

*Multiply both sides by 12*

d=-48


Hope this helps!!


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