Question

Two lines form a linear system. The slope of one line is 4 and it has a y-intercept of (0, -3). The slope of the other line is 4 and it has a y-intercept of (0, 8). How many solutions does this system have?


0

1

2

infinitely many

Answer 1

hoowaahh i think i can help you

Answer 2

Lol haha

Answer 3

In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

slope of 1 line is 4, and has a y intercept of -3
y = 4x - 3

slope of line 2 is 4, and has y intercept of 8
y = 4x + 8

Now look at this..
if the lines have the same slope and the same y intercept, then there are infinite solutions.
if the slopes are the same and the y intercepts different, then the lines are parallel with no solutions.
if the slopes and the y intercepts are different, then there is 1 solution.

So what do you think ?

Answer 4

We dont have a y intercept yet though...hmm. We probably can get the same y intercept for the two

Answer 5

yes we do...the y intercepts are given to you in the problem.
line 1, slope 4, y intercept -3
line 2, slope 4, y intercept 8

Answer 6

hull up hull up hull up bruh did you put it in point slope form first

Answer 7

Infinitely many then and idk ^

Answer 8

wrong...same slope and different y intercepts....parallel lines...0 solutions (because they never intersect)

Answer 9

0

Answer 10

But they both have the Y thats given to us in the problem

Answer 11

if they are parallel then they have no solutions because they never touch

Answer 12

if the slopes are the same, and the y intercepts different, then the lines are parallel with 0 solutions

Answer 13

Yeah I know..but i wouldnt be able to tell if something is parallel by just looking at something like this ---> Y = -x + 3

Answer 14

and Y = -x + 8

Answer 15

if it has the same slope then you know they are parallel

Answer 16

Oh...how about Y = 4X + 6, and Y = 4X - 5?

Answer 17

they are parraller. again same slope

Answer 18

if you have 2 of them..you can just look at tell..

y = -x + 8
y = -x + 5
same slope, different y intercepts, 0 solutions

y = -x + 8
y = -x + 8
same slope, same y intercept, infinite solutions

y = -x + 8
y = 2x + 3
different slopes, different y intercepts, 1 solution

Answer 19

yea tex is right

Answer 20

OHHHHH!!!! If the ''-x'' is the same, and the first part looks like this: Y = -x...but the numbers are different, its the same slope and different y intercepts

Answer 21

yes so parallel

Answer 22

In y = mx + b form, the number in the m position is the slope and the number in the b position is the y intercept.
just compare them

Answer 23

What if the signs are different? like the + and -

Answer 24

they are not parallel

Answer 25

that makes a difference..
y = -x + 8
y = x + 2
different slopes, different y intercepts, 1 solution

Answer 26

But on the graph they look the same...just sort-of combined plots

Answer 27

no because they intersect at one point

Answer 28

you have the same slopes, but different y intercepts...parallel lines...0 solutions

Answer 29

Yes!! I kinda knew it..kinda.

Answer 30

just go with your gut feeling

Answer 31

My gut feeling is kinda always wrong when it comes to virtual school math and graphs..

Answer 32

When I know something though, I stick with it until proven wrong if I am.

Answer 33

im in virtual school too bruh

Answer 34

just remember, if you want to find slope and y intercept, put your equation in y = mx + b form first

Answer 35

thanks bruh. ican teach you how to nae nae

Answer 36

xD

Answer 37

im a girl o-o

Answer 38

oh sista from anotha mista

Answer 39

hull up hull up hull up HOOOOWWWWWAAAHHH

Answer 40

what kinda thirsties do you slap?

Answer 41

how did you change your picture too. thats funny with Obama