Question

write the equation of a line that is perpendicular to the given line and that passes through the given point.
x + 3y = 16; (-3 , -4)

Answer 1

if the line is

x + 3y = 16

can you identify its slope?

if so, note that the slope of any line perpendicular to it is the negative multiplicative inverse of it

Answer 2

i have no idea what im doing here, im just trying to finish my exam ._.

Answer 3

oh. well just find the slope of x + 3y = 16, then take the negative reciprocal of it. this will be the slope of the perpendicular line.

and you already have a point on the perpendicular line of (-3, -4)

that's all you need. you have a slope, and a point. that's enough to write a line