Question

What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (3, 6) and (1, −2)?

Answer 1

lines that are parallel have the same slope, so first you want to find the slope of the line that passes through (3,6) and (1,-2)

Answer 2

you know how to find slope?

Answer 3

y1-y2 over x1-x2 or something right? @juliannescriv

Answer 4

yep :) either \[\frac{ y _{1}-y _{2} }{ x _{1}-x _{2}} \] or have the 2s on the left and the ones on the right

Answer 5

so do \[\frac{ 6-(-2) }{ 3-1 }\]and tell me what you get

Answer 6

8/2

Answer 7

and that simplifies to 4

Answer 8

point slope is\[y-y _{1}=m(x-x _{1})\]
\[y _{1}=6\]\[x _{1}=3\]

Answer 9

plug those numbers in and solve and tell me what you get

Answer 10

oh, and m=4

Answer 11

you understand where i got 6, 3, and 4?

Answer 12

yes, where u found the slope. so y-6=4(x-3) ?

Answer 13

yep. next you want to distribute that 4

Answer 14

y-6=4x-12

Answer 15

great. last you want to get y by itself

Answer 16

you know how to do that?

Answer 17

add 6 so y=4x-6 ?

Answer 18

ahh, so sorry. i messed up

Answer 19

we were supposed to use (−1, 1) instead of (3,6)

Answer 20

-1

Answer 21

so, use that point slope equation again, y= 1, x=-1, m=4

Answer 22

but you got it the first time, im sure you can do it again :P

Answer 23

y-1=4(x+1)?

Answer 24

distribute the 4 again

Answer 25

y-y=4x+4

Answer 26

*y-1

Answer 27

next get y by itself

Answer 28

ya, y-1 sorry. so y=4x+3

Answer 29

nope, you add the 1

Answer 30

ohh my bad 5

Answer 31

good job

Answer 32

so what do i do now?

Answer 33

m=4

Answer 34

wasn't sure if you needed the equation for that line too or not

Answer 35

ohh okay! thanks!!!!!

Answer 36

mhm :)

Answer 37

how do i give medals on here lol

Answer 38

click best response :P