Question

Determine the equation of the line that is perpendicular to the given line, through the given point.

y = 3x+4; (9, −7)

Answer 1

Answer:

given line

$y = 3x + 4$

it is in the form of

$y = mx + c$

the slope of the line perpendicular to given line is

$\frac{ - 1}{m}$

then

$y = ( \frac{ - 1}{3} )x + c$

to find the value of C , we need to substitute

(9,-7) in the above equation..

$- 7 = (\frac{ - 1}{3} )(9) + c$

then C=-4

the required equation is

$y = \frac{ - x}{3} - 4$

$3y = - x - 4$

$x + 3y + 4 = 0$