find the two equations of lines that are parallel and perpindicular to the lines with this eqaution. y=3x+9 how do u do this

3 answers

That equation is in the form:
y = m x + b

m is the slope, and b is where the line hits the y axis where x = 0.

therefore the slope, m, is 3
any other line with sole 3 is parallel to your line, so for example
y = 3 x
or
y = 3 x + 459.73
or whatever. b does not matter for parallel, only m

Now for perpendicular, any line with
m' = -1/m
will be perpendicular to lines with slope m
if m = 3, then m' = -1/3
so for example
y = -x/3
will do
or
y = -x/3 + 75694.783
will do
Explain in words how to write an equation that is part one: parallel and then also part two: perpendicular to the equation y=2/3x-4 passing through the point (-2,-5). Write your answer in standard form.
Explain in words how to write an equation that is part one: parallel and then also part two: perpendicular to the equation y=2/3x-4 passing through the point (-2,-5). Write your answer in standard form