Question

HELP MEEEEEE
Which equation represents the line passing through the point (4, −16) and is perpendicular to the line

Answer 1

\[y=-\frac{ 2}{ 3 }x+8\]

Answer 2

Let us begin with our basic line equation.
$$y = mx + b$$

Answer 3

ok

Answer 4

its already in that form

Answer 5

Now, we know that, because the line is perpendicular to the first, this line's slope is \(-\frac 1 m\), or the negative reciprocal of that slope.

Answer 6

So $$y = \frac 3 2 x + b$$
so far.

Answer 7

We know that x = 4, y = -16 is a solution to this equation, so we can use that to solve for b.

Answer 8

$$-16 = \frac 3 2 (4) + b$$
What does this simplify to, you think?

Answer 9

2

Answer 10

Er, the equation simplifies to:
$$-16 = \frac{12}2 + b\\
-16 = 6 - b\\
-22 = b$$

Answer 11

Sorry, that should be 6 + b.

Answer 12

ooo i thought u was talking about the (4)

Answer 13

That's one way to do it, but you still have to multiply by 3 in the numerator.
Therefore, our equation is: $$y = \frac 3 2 x - 22$$

Answer 14

ok then what

Answer 15

never mind

Answer 16

thanx are u up for a few more

Answer 17

Sure, but I'm not doing all the work this time.

Answer 18

LMAO OK

Answer 19

Which equation represents the line passing through the points (3, 2) and (−9, 6)?

Answer 20

we must graph this rite

Answer 21

Well, you could do that. It might help but it's better to just do it with pure mathematics.