Help me out with this step by step please.... Write the equation of the line that is perpendicular to the line y = 3/2x + 4 and passes through the point (−6, 3).

Question

anonymous · Answer

answers are: 
y = 3/2x - 1
y = 3/2x + 3
y = - 2/3x -1
y = -2/3x + 3

anonymous · Answer

please help

bibby · Answer

The slope of a perpendicular line has a negative reciprocal of the slope of the original line.

The slope here is 3/2, right? What would the perpendicular lines slope be

anonymous · Answer

yes

bibby · Answer

Spoiler: that wasn't a yes/no question. The answer is a number

anonymous · Answer

What do you mean the answer is a number

anonymous · Answer

oh I get it

anonymous · Answer

It would be -2/3 ?

bibby · Answer

yep :D
Now we can scratch off A and B

anonymous · Answer

yes we can

anonymous · Answer

now what?

bibby · Answer

Now we test C and D to see if they pass through the given point. Do you know how to do that?

anonymous · Answer

no

bibby · Answer

Alright. At this point we have our answers narrowed down to 
y = - 2/3x -1
y = -2/3x + 3 and the point (−6, 3).

These are equations so we can either plug in 3 for the y value or -6 for the x value.

Either way works.
If you plug in -6 for x you should get a 3 from the equation
Vice versa if you use 3 for y

shamil98 · Answer

You don't have to plug in
you have -2/3 = m and (-6,3)  --> x,y

plug them in and solve for b..
3 =  -2(-6)/3 + b

shamil98 · Answer

plug them into slope-intercept form i should say 
y = mx +b

bibby · Answer

wat they already are in slope intercept form.
my way should work too anyways
3 = -2/3x - 1
4 = -2/3x
-6 = x

shamil98 · Answer

your way you have to test each option , my way you can find it out without the answer choices lol. less tedious

anonymous · Answer

your both right just one way is easier then the other

bibby · Answer

I love you shamil

shamil98 · Answer

m = -2/3
(x,y) --> (-6,3)
y = mx + b
3 = -2(-6)/3 + b
3 = 4  +b
-1 = b
ily to man

shamil98 · Answer

y = -2/3x - 1
and there u go.

bibby · Answer

Please give my associate a medal izzy

anonymous · Answer

how do i give medals?

shamil98 · Answer

no give bib the medal i just interrupted

shamil98 · Answer

click on best response next to bibby's name

bibby · Answer

bibby is a funny way of spelling shamil :*

anonymous · Answer

opps 
sorry clicked the wrong one

bibby · Answer

Glad we could help