SOLUTION: Find the value of x so the line that passes through (x, 5) and (12, 2) is perpendicular to the line that passes through (0, 1) and (2, 7).

Question 444828: Find the value of x so the line that passes through (x, 5) and (12, 2) is perpendicular to the line that passes through (0, 1) and (2, 7).
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
slope of second line
(7-1)/(2-0)
slope of first line
(5-2)/(x-12)
we want the two slopes multiplied to equal -1
(7-1)/(2-0)*(5-2)/(x-12)=-1
it looks harder than it is.
just do the math.
6/2*3/(x-12)=-1
9/x-12=-1
9=-1*(x-12)
-9=x-12
add 12
3=x

RELATED QUESTIONS
Find the equation of a line that is perpendicular to x=-1 and passes through... (answered by oscargut,solver91311)

write an equation of the line that is perpendicular to the line through(9, 10) and (3,-2) (answered by checkley71,algebrapro18)

find the equation of the line that is perpendicular to 3y=4x-12 and passes through the x... (answered by Fombitz)

In the standard (x, y) coordinate plane, the line that passes through (1, -7) and (-8, 5) (answered by solver91311)

Find the equation of the line that passes through (3,-5) and is perpendicular to the line (answered by checkley71)

Find the equation of the line that passes through (3,-5) and is perpendicular to the line (answered by Alan3354)

Find an equation of the line that passes through the point (5, 3) and is perpendicular to (answered by TimothyLamb)

find the equation for the line that passes through the points (-2,4) and that is... (answered by stanbon)

write an equation of the line that is perpendicular to the given line and passes through... (answered by mananth)