Question

Can someone pls tell me whether the graphs of the lines will be collinear, parallel, or intersecting?
y= 4x+1
y=4x-3

Answer 1

What are the slopes of each line?

Answer 2

intersecting

Answer 3

why?

Answer 4

no, the lines aren't intersecting

Answer 5

I just need the explaination of the formula to tell whether or not it is parallel or intersecting and col linear

Answer 6

What are the slopes of each line?

Answer 7

thats all it is given, theres a formula for solving but I don't know it.

Answer 8

Hint: the equation y = mx+b has the slope m

Answer 9

ex: y = 9x + 20 has the slope of 9

Answer 10

sorry the lines are not intersecting. Extremely sorry, I made a mistake. They have same slopes, so they should be parallel.

Answer 11

I guess its four right? thats fine

Answer 12

4 is the slope, yes

Answer 13

since the slope is 4 for both of the lines, the lines are either parallel or collinear

Answer 14

the two lines are collinear if and only if the two y-intercepts are the same

Answer 15

otherwise, the two lines are parallel

Answer 16

ah ok

Answer 17

one passes from y=-3 and other from y=1, so they are parallel(since slopes are same) but not co-linear.

Answer 18

so if its the same its parallel and what happens if its collinear?

Answer 19

no, if the y-intercepts are the same, the lines are collinear

if the y-intercepts are different, the lines are parallel

both cases are true when the slopes are both equal

Answer 20

oh ok i see, so it is collinear right?

Answer 21

what are the y-intercepts for both lines?

Answer 22

i need help finding the y intercepts pls

Answer 23

y = mx+b

b is the y-intercept

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ex:

for y = 2x+11

11 is the y-intercept

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ex:

y = 14x-13 which is the same as y = 14x + (-13)

-13 is the y-intercept

Answer 24

ah i see

Answer 25

in this case the y intercepts are the same, which is 4x? And what do I do with the 1 and -3?

Answer 26

to find Y=intercept, put x=0 in each equation. simple. Any point on y-axis is represented as x=0 and y=Y

Answer 27

no, that's not the y-intercept

Answer 28

y = 4x + 1, y intercept is 1

Answer 29

look back up at my 2nd to last post

Answer 30

oh right then the y intercepts aren't the same

Answer 31

so the lines are parallel

Answer 32

ah ok what will happen if its intersecting?

Answer 33

if the slopes are different, then the lines will intersect

Answer 34

what about collinear?

Answer 35

if the slopes are the same and the y-intercepts are the same, then the two lines are collinear

Answer 36

ah coolio thanks