Question

Write the equation of the line that is perpendicular to the line 3x + y = 7 and passes through the point (6, −1).

y = one thirdx − 3

y = one thirdx + 17

y = −3x − 3

y = −3x + 17

Question 2

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

y = 2x + 6

y = −one halfx + 3

y = −one halfx + 6

y = 2x + 3

Question 3

Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).

y = 2x − 7

y = −one halfx − 2

y = 2x

Answer 1

the prependicular line is the reciporal of the slope and the opposite sign

Answer 2

I dont understand this one bit i went over it like three times and i still dont understand

Answer 3

okso the equation they are using is mx + b
m being slope x being the x coodinate and b being the y intercept

Answer 4

ok could you help me do one so i could see how its done if you dont mind

Answer 5

for a perpendicular line it is the reciprocal and the opposite sign so that will make -1/3x+ y=7

Answer 6

now we are going to have to but it in slope intercept form mx+b can you do that?

Answer 7

im still kind of lost sorry if im being trouble

Answer 8

ya lets start over...

Answer 9

first we know that the lines pass through (6, −1). right?

Answer 10

yes

Answer 11

ok wel lets use this formula (y - y1) = m(x - x1)

Answer 12

do ya'll need help ?

Answer 13

ya i need to eat dinner so can you take it from here @texaschic101

Answer 14

I got you covered...go eat

Answer 15

ok and if you would like to help i need all the help i could get thanks

Answer 16

if you are looking for a perpendicular line, the slope will be the negative reciprocal. Your equation is 3x + y = 7. We want it in y = mx + b form where m is the slope. So lets put it in y = mx + b.
3x + y = 7
y = -3x + 7
are you with me so far ?

Answer 17

ya im with you

Answer 18

ok....the slope for the equation given is -3....do you understand how I got that ?

Answer 19

not sure really

Answer 20

we put you equation in y = mx + b and m is the slope.
y = -3x + 7.....in this form, the slope is the number right before the x.
So the slope for this equation is -3.
Understand ?

Answer 21

ok now i understand

Answer 22

for a perpendicular line, the slope is the negative reciprocal....what that means is...well..let me just show you....-3 is the same as -3/1....what we do is flip the number and change the sign....making the slope we want 1/3. Do you understand that ?

Answer 23

yes

Answer 24

then we use this formula : y - y1 = m(x - x1)
using slope(m) = 1/3 and points ( 6,-1), y1 = -1 and x1 = 6
and we sub all that in to the formula
understand ?

Answer 25

yep

Answer 26

y - y1 = m(x - x1)
y - (-1) = 1/3(x - 6)
y + 1 = 1/3x - 2
y = 1/3x - 2 - 1
y = 1/3x - 3
Are you understanding what I have done ?

Answer 27

yes

Answer 28

Now when you are looking for perpendicular line....it is the negative reciprocal ...flip the number and change the sign. But when you are looking for a parallel line, the slope does not change. You have to first get the given equation in y = mx + b form, and the slope is m. So, you want to try one ?

Answer 29

i would like to but my work is being time and i really have to get it done but thanks for your help it was very helpful

Answer 30

you are very welcome :)