Line L has equation 2x - 3y = 5.
Line M passes through the point (2, -10) and is perpendicular to line L.
Determine the equation for line M.

A)
2x + 3y = -14

B)
2x - 3y = -26

C)
3x + 2y = -14

D)
3x - 2y = -26

Question

Line L has equation 2x - 3y = 5.
Line M passes through the point (2, -10) and is perpendicular to line L.
Determine the equation for line M.

A)
	2x + 3y = -14

B)
	2x - 3y = -26

C)
	3x + 2y = -14

D)
	3x - 2y = -26

anonymous · Answer

I undestand how to get the slope and everything, but I don't understand how to use the ordered pair it provides...

ash2326 · Answer

@Sunshine447 what's the slope of line m?

anonymous · Answer

-3/2?

ash2326 · Answer

Good, do you know how to find slope?

anonymous · Answer

using the slope formula and solving?

ash2326 · Answer

yes

anonymous · Answer

okay, but how do I involve the ordered pair it gives me?

ash2326 · Answer

Let line passes through (x, y) and (x1, y1) and has slope m, then equation is given as
$$\frac{y-y1}{x-x1}=m$$
here (x1, y1)=(2, -10) and slope is $\frac{-3}{2}$

ash2326 · Answer

@Sunshine447 I think you can do now, can't you?

anonymous · Answer

i know its c based on the slope, but I don't understand where you get the -14 from

anonymous · Answer

@ash2326 u there?

anonymous · Answer

@Hero can you help me?

hero · Answer

Hint: The product of the slopes of two perpendicular lines is - 1

anonymous · Answer

I don't understand... How do you get the -14 from?

anonymous · Answer

*where do you

anonymous · Answer

ok put line l into the standard form.

anonymous · Answer

it is in standard form... isnt it?

anonymous · Answer

sorry i meant y=mx+b then when yo get it into that  form you have to plug the points into the equation $$y-y _{1}=m \left( x-x _{1} \right)$$

anonymous · Answer

now the m is the slope from the first line and it has to be the reciprocal. so find that of the equation and plug it in.

anonymous · Answer

y=2/3x+5

anonymous · Answer

thats the mx+b right?

anonymous · Answer

yeah

anonymous · Answer

ok now turn the m into the reciprical

anonymous · Answer

opposite reciprocal or reciprocal?

anonymous · Answer

negative reciprocal

anonymous · Answer

-3/2

anonymous · Answer

ok goo now plug it into the m in to the formula i gave you

anonymous · Answer

is this point slope form?

anonymous · Answer

yes.

anonymous · Answer

ohhhhhh okay I have my formula sheet but I didn't know which one to use. It's c right?

anonymous · Answer

yeah i thinks so.

anonymous · Answer

thanks!

anonymous · Answer

haha a return of favors huh ?