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

- anonymous

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- jim_thompson5910

What are the slopes of each line?

- anonymous

intersecting

- anonymous

why?

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## More answers

- jim_thompson5910

no, the lines aren't intersecting

- anonymous

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

- jim_thompson5910

What are the slopes of each line?

- anonymous

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

- jim_thompson5910

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

- jim_thompson5910

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

- anonymous

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

- anonymous

I guess its four right? thats fine

- jim_thompson5910

4 is the slope, yes

- jim_thompson5910

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

- jim_thompson5910

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

- jim_thompson5910

otherwise, the two lines are parallel

- anonymous

ah ok

- anonymous

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

- anonymous

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

- jim_thompson5910

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

- anonymous

oh ok i see, so it is collinear right?

- jim_thompson5910

what are the y-intercepts for both lines?

- anonymous

i need help finding the y intercepts pls

- jim_thompson5910

y = mx+b
b is the y-intercept
------------------------------
ex:
for y = 2x+11
11 is the y-intercept
------------------------------
ex:
y = 14x-13 which is the same as y = 14x + (-13)
-13 is the y-intercept

- anonymous

ah i see

- anonymous

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

- anonymous

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

- jim_thompson5910

no, that's not the y-intercept

- jim_thompson5910

y = 4x + 1, y intercept is 1

- jim_thompson5910

look back up at my 2nd to last post

- anonymous

oh right then the y intercepts aren't the same

- jim_thompson5910

so the lines are parallel

- anonymous

ah ok what will happen if its intersecting?

- jim_thompson5910

if the slopes are different, then the lines will intersect

- anonymous

what about collinear?

- jim_thompson5910

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

- anonymous

ah coolio thanks

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