Question

what is the slope of a line parallel to this one with the points (0,3) and (3,2) plotted on a graph
a)3/2
b)1/3
c)-1/2
d)-3

Answer 1

What do we know about the slope of parallel lines?

Answer 2

@domu isnt it y=mx+b

Answer 3

That's the equation of a line. In there is the slope and y-intercept, which of the letters, y,m,x, or b, represents the slope?

Answer 4

@domu is it m?

Answer 5

Exactly! So if we have 2 parallel lines, what can we say about their slopes?

Answer 6

that they are the same @domu

Answer 7

yup yup, so now we just need to calculate the slope of the line passing through the two points given. How would we do that?

Answer 8

hmmm how did you get there, can you show me your work?

Answer 9

sorry i honestly have no idea what im doing lol hold on let me try it again

Answer 10

@domu

Answer 11

lol no problem

Answer 12

i cant do this lol @domu is it -3 ??

Answer 13

Given 2 points (x1,y1) and (x2,y2) how do we calculate the slope of the line passing through those 2 points? Is there a formula?

Answer 14

@domu i got 1/3!

Answer 15

@elizabethvilleda \[(y-y1/y2-y1)=(x-x1/x2-x1)\]

Answer 16

from this we get the equation of this line

Answer 17

isnt the slope=-1/3?

Answer 18

slope(m) = (y2 - y1) / (x2 - x1)

Answer 19

lol thats what i meant sorry

Answer 20

@elizabethvilleda -1/3?

Answer 21

(0,3) -- x1 = 0, y1 = 3
(3,2) -- x2 = 3, y2 = 2

m = (y2 -y1) / (x2 - x1)
m = (2 - 3) / (3 - 0)
m = -1/3.
correct...slope is -1/3

Answer 22

@texaschic101 yup it is