How do you write an equation of the line containing the given point (3,4) and perpendicular to $y=3x+4$ ?

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Answer 1 · 2018-06-05T06:30:05

If it is perpendicular to $y=3x+4$ then it has a gradient of $-1/3$ because when you multiply the gradients together the answer is -1.

The line is of the form $y=-1/3x+c$ but it passes through (3,4)

$=> 4=-1/3xx3+c$

$4=-1+c$

$c=5$

$y=-1/3x+5$

How do you write an equation of the line containing the given point (3,4) and perpendicular to y=3x+4y=3x+4?