Question

Write the equation of the line that is perpendicular to the line y = -2x - 8 and contains the point (4, 4).

Answer 1

whats the slope of this line?

Answer 2

The one that it's perpendicular to is -2. I don't know the one that it's asking about. I know it's the opposite reciprocal, but I messed up on it. >.<

Answer 3

its the opposite reciprocal with a negative sign.

Answer 4

oh thats what it means. lol. where are you stuck?

Answer 5

So, y = 2x + 4 ?

Answer 6

I dont know :O lol I'm all confused.

Answer 7

y=mx+c is the basic eq of a line, right?

Answer 8

y = 1/2x + 2

Answer 9

Yes

Answer 10

Are you positive?

Answer 11

so, if the given line has a slope -2. the line perpendicular to it has a slope 1/2. thats a result. you have to memorize it. m1*m2=-1 for 2 perpendicular lines.

Answer 12

i think you need to understand the beauty that the slope(some geometric thing) can be represented by a single number!

Answer 13

now, the line you need is y=1/2x+c. you dont know c. now thats the reason you are given point 4,4. plug them into y=1/2x+c, find c, and you have the line.

Answer 14

Lol okay, thanks guys :P

Answer 15

try to understand the above picture.

Answer 16

._.

Answer 17

it tells you exactly the equation m1*m2=-1 for 2 perpendicular lines

Answer 18

you understand how slope is represented by a number right?

Answer 19

Yeah

Answer 20

in my picture, m1 is m and m2 is -1/m. you can see those are perpendicular

Answer 21

@yrelhan4 can you give him a medal that way you both get one?