If the equation of line l is 4x + 3y = 7, then the equation of line m must be (answer here)x + 4y = 13 because perpendicular lines have slopes with a product of (answer here)
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Given
4x + 3y =7
3y = - 4x + 7
y= - (4/3) x + 7/3
so
m = - 4/3
another equation
x + 4y = 13
4y = 13 - x
y= - (1/4)x + 13
l = -1/4
Now
For perpendicular
m*l = -1
Now
LHS
m*l
-4*1/3*(- 4)
1/3
Hence LHS not equals to RHS so both line are not perpendicular to each other .
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