Question

two lines in a coordinate plane have no points of intersection.

Which pair could be the equations of the lines?

a. 3x-2y=6
6x-4y=12
b.7x+y=10
3x-2y=-3
c.(3/4)x+y=5
3x+4y=2
d.(1/3)x+y=1
3x+4y=8

Answer 1

if they have no points of intersection, that would make them parallel lines

Answer 2

and what do we know about parallel lines and slopes...

Answer 3

parallel lines have the same slope. so if we put the answer choices into slope-intercept form, we can see which choice has the same slope for each line

Answer 4

oh see it now

Answer 5

i meant oh ok i see it now

Answer 6

so which do you think is the answer?

Answer 7

give me one sec.....

Answer 8

well i know the slope equation is rise over run (rise/run)

Answer 9

we don't need to use that. we just need to change the answer choices from standard form to slope-intercept form

Answer 10

ok now i reall see it

Answer 11

lol

Answer 12

a. y=3x-2y
y=6x-4y
this is what you are talking about. right?

Answer 13

this is just an example

Answer 14

slope-intercept form is y = mx + b. so we're basically solving for y in terms of x. y would be on the left by itself

Answer 15

if i rewrite the answer choses it would look like

y=3x-2
2=2y. 2 is the y- intercept

Answer 16

no...we're using a as an example, right? lemme show you