Question

The equation of a line is y=-2/3x-1 . What is the equation of the line that is perpendicular to the first line and passes through (–4, 3)?

Answer 1

ok give me a sec and i will have it for you

Answer 2

do you know what the slope of y = -2/3x - 1 is ?

Answer 3

its -2/3

Answer 4

correct. But we are looking for a perpendicular slope, so we need the negative reciprocal of that. All that means is " flip " the slope and change the sign. For example, the negative reciprocal of 3/4 is -4/3 (see how I flipped the slope and changed the sign).
So what is the negative reciprocal of -2/3 ?

Answer 5

ok here is what i got 2x+3y=-3

Answer 6

so its y=-3/2x-3 wouldnt it

Answer 7

y = mx + b
slope(m) = 3/2
(-4,3) x = -4 and y = 3
now we sub
3 = 3/2(-4) + b
3 = - 6 + b
3 + 6 = b
9 = b
so your parallel equation is : y = 3/2x + 9 ==> slope intercept form
but if you need it in standard form, it is :
y = 3/2x + 9 -- multiply equation by 2
2y = 3x + 18 -- subtract 3x
-3x + 2y = 18 -- multiply by -1 to make x positive
3x - 2y = -18 ==> standard form

Answer 8

so i had the letters in the wrong place

Answer 9

the slope you got was incorrect, as well.

Answer 10

whats the answer guys ??

Answer 11

does anyone have any questions ?
answer is : y = 3/2x + 9 in slope intercept form or 3x - 2y = -18, if you need it in standard form.

Answer 12

i have alot of guestions can you answer them for me please ? and thx

Answer 13

ask away

Answer 14

What is the equation of the line that passes through (–2, –3) and is perpendicular to 2x – 3y = 6?

Answer 15

same type of problem. Find the slope of the equation given by putting the equation in y = mx + b form, where m is your slope.
2x - 3y = 6 -- subtract 2x
-3y = -2x + 6 -- divide by -3
y = 2/3x - 2
so our slope is 2/3.
Our perpendicular slope will then be -3/2.

y = mx + b
slope(m) = -3/2
(-2,-3) x = -2 and y = -3
now sub
-3 = -3/2(-2) + b
-3 = 3 + b
-3 - 3 = b
-6 = b
so your perpendicular equation is : y = -3/2x - 6

Answer 16

another one he graph of which of the following will be perpendicular to the graph of y = 2x – 4?
A.
2x + y = 4
B.
4x – 2y = 4
C.
y = –2x + 8
D.
2x + 4y = 1

Answer 17

y = 2x - 4 --- slope is 2
we are looking for perpendicular, so we need slope of -1/2

I am going to put your answer choices in y = mx + b form, and I am looking for a slope of -1/2.

(A) 2x + y = 4
y = -2x + 4 (incorrect)
(B) 4x - 2y = 4
-2y = -4x + 4
y = 1/2x - 2 (incorrect)
(C) y = -2x + 8 (incorrect)
(D) 2x + 4y = 1
4y = -2x + 1
y = -1/2x + 1/4 (BINGO -- here it is)
ANSWER D

Answer 18

The vertices of a triangle are A(–2, 2), B(9, 0), and C(1, –4). If the triangle is a right triangle, which vertex is the right angle?


A
B
C
D.
none, it is not a right triangle

Answer 19

can you help me with that one ?

Answer 20

I am sorry...I do not know much about geometry :(