How do you the equation of the line that is perpendicular to the line 2x - 3y = 3 and passes through the point (-8, 2)?

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Answer 1 · 2017-05-26T18:46:24

When given a line in form #ax-by=c#, the equation of all lines that are perpendicular are of the form:

#bx+ay=k#

Use the given point to find the value of #k#

The equation of all lines that are perpendicular are:

#3x+2y=k#

To find the value of k, substitute the point #(-8,2)#

#3(-8)+2(2)=k#

#-24+4=k#

#k = -20#

The equation of the line perpendicular to #2x - 3y = 3# that passes through the point #(-8,2)# is:

#3x+2y=-20#