Question

Find the equation of the line that contains the point (4, 3) and is perpendicular to the line y = (3/4)x − 3.

Answer 1

what is the slope of the line given?

Answer 2

this is the question right off my assignment.

Answer 3

what is there is what I have to work with

Answer 4

ok, what is the slope of y = (3/4)x - 3?

Answer 5

so am I taking the (3/4)*4, o am I needing to flip it?

Answer 6

the slope is 3/4 y = m x + b m is the slope

so what is the negative reciprocal of 3/4?

Answer 7

4/3

Answer 8

almost... have to negate it too

Answer 9

yea sorry

Answer 10

negative means change the sign, reciprocal means flip it
and that is so much mess, they just say "inverse"
and inverse gets very important a couple years from now in your math studies

Answer 11

ok so its -4/3

Answer 12

anyway, the slope of the perpendicular line is -4/3
so all we need now is the y intercept
so here is where you plug your point into y = -4/3 x + k
and solve for k

Answer 13

ok which I get 3=-5 1/3 + k?

Answer 14

yes, but you have to solve for k

Answer 15

8 1/3

Answer 16

yes, but they don't usually come out like that
but when they do, 25/3 is better

Answer 17

so use that k in y = -4/3 x + k
and you should have the right answer

Answer 18

ok thank you so much