Question

write the equation of a line : perpendicular to y=3x-1, through(-3,1)

Answer 1

alright, we will first need to identify the slope of the line from the equation give, can you do that?
what is m, in the equation y=3x-1?

Answer 2

3/1

Answer 3

yep ^_^

Answer 4

now we need to turn that slope into the slope of a perpendicular line.
so we do (-1)*m for the first step, then flip the fraction upside down. can you do that?

Answer 5

-1/3

Answer 6

right again ^_^

Answer 7

so now we have the slope of the perpendicular line, now we need to make a 'y=mx+b' equation for it,
so we now know m, we were given (x,y) in the question, so plug those into the y=mx+b equation and solve for 'b'

Answer 8

b=0

Answer 9

3 for 3, nice work ^_^

Answer 10

so, now the last step is to write the equation of the perpendicular line in 'slope-intercept' form
so plug in m and b into this equation only, and you are done ^_^
y=mx+b

Answer 11

y=-1/3x+b

Answer 12

don't forget b=0, so put that in

Answer 13

y=-1/3x

Answer 14

esta correcto ?

Answer 15

yep, that is correct

Answer 16

Thanks

Answer 17

^_^