Question

What is the x-coordinate of the x-intercept of the line that passes through points (-5, 3) and (1, -3)?

I did not do this in a LONG TIME

Answer 1

So do you know how to find the equation of the line that passes through the points given?

Answer 2

Do you know how to find the slope this line that passes through the points given?

Answer 3

Do you know the slope formula?

Answer 4

\[slope=m=\frac{y_2-y_1}{x_2-x_1}\]
Let me know what you get for the slope when you get it
Also you will need to know what form a line has
One form any line can be written in is y=mx+b
Where m is the slope and b is the y-intercept
So once you get a known value for m
You will use that value for m and use either (x=-5,y=3) or (x=1,y=-3)
And plug into y=mx+b to solve for b

---
Ok but one thing at a time
What did you get for m?

Answer 5

How di u get the slope

Answer 6

Plug your points into the formula I gave

Answer 7

\[(x_1=-5,y_1=3) \text{ and } (x_2=1,y_2=-3)\]

Answer 8

I'm new to this, and I know Im not supposed to ask but how are u a mod cuz i wanna b 1 please

Answer 9

Plug into
\[m=\frac{y_2-y_1}{x_2-x_1}\]

Answer 10

Hey @kkambroise12345 please talk about this in chat, message me, or post in feedback.

Answer 11

ok lemme see i got -4?

Answer 12

-4 is the slope?

Answer 13

cuz 3-3=0
and 1-5=-4

Answer 14

\[m=\frac{-3-3}{1-(-5)}\]
I'm not seeing how to get -4 from this
Try again

Answer 15

-6,6

Answer 16

i got -6,6 is that correct?

Answer 17

-6/6 =?

Answer 18

oh i have 2 divide too 1 seec

Answer 19

-1

Answer 20

yes m=-1 very good
So we have so far
y=-1x+b

I just replace m with -1 since m=-1
Now we need to find b
And we know a point on the line (use either point)
(-5,3)
x=-5,y=3
Plug this into y=-1x+b and solve for b

Answer 21

i can use either -5 or 3?

Answer 22

use -5 for x and 3 for y
because x=-5 and y=3
Replace x with -5 and replace y with 3 in the eqaution
y=-1x+b
And then solve for b

Answer 23

ok

Answer 24

3=-1(-5)+b

Answer 25

Right now
we have 3=5+b
solve for b :)

Answer 26

3=5+b is what I have now but What now? Do i multiply 3 to 5 and 3 to b?

Answer 27

WAIT NOOO

Answer 28

I subtract RIGHT?!!

Answer 29

Yes subtract what on both sides?

Answer 30

OK I GOT -2

Answer 31

I subtract 3 from both sides

Answer 32

b=-2 is correct! :)

Answer 33

YES WOOT FINALLY!!!

Answer 34

so we have the equation of the line is
y=-1x-2

Answer 35

Now the last thing to do is...

Answer 36

AH took 4 ever

Answer 37

MORE
!!

Answer 38

>.<

Answer 39

Since we want to find the x-intercept set y=0 and solve for x

Answer 40

Huh

Answer 41

Since we want to find the x-intercept, replace y with 0 and solve for x
Remember we are looking at
y=-1x-2

Answer 42

ohh ok so uhm let me see

Answer 43

2?

Answer 44

-2

Answer 45

Ok so did you replace y with 0 like this
0=-1x-2
And you want to solve this for x
So how do you isolate x ?

Answer 46

Uhm I think i have to subtraact

Answer 47

Ok since you have subtraction of 2
You need to add 2
If you add 2 on one side, add 2 on the other , right?

Answer 48

ok

Answer 49

x=2

Answer 50

Nope nope
ok so you need to add 2 on both sides

Answer 51

oh wait

Answer 52

almost actually

Answer 53

You are missing something on your answer

Answer 54

I am

Answer 55

So when you added 2 what is the exact equation you get ?

Answer 56

After performing that one step

Answer 57

x=-2

Answer 58

Right :)

Answer 59

Then what

Answer 60

Thats it

Answer 61

Wait but it does not seem right my answer is -2,-2? Or jusr -2

Answer 62

You found x = -2 by setting y = 0. So the answer is (-2,0)