Question

What is the equation of the line that passes through the points (−2, 3) and (2, 7)?

Answer 1

may I help?

Answer 2

please

Answer 3

ok

Answer 4

This is the equation form of the line passes through two points:
\[\frac{ y_2-y_2 }{ x_2-x_1 }=\frac{ y=y_1 }{ x-x_1 }\]
All you need is to substitute with the two points in the equation

Answer 5

So I found the slope.. and it was 1

Do i need that to plug in?

Answer 6

yes the slope is 1
correct

Answer 7

im confused about how to use the formula you gave

Answer 8

one minute please

Answer 9

okay

Answer 10

yes i am here

Answer 11

I am sorry for late!

Answer 12

no problem

Answer 13

the left side is for slope
the right side is to y and x

Answer 14

as the slope is 1, put it instead of the left side.

Answer 15

I wrote an equation that looked like this : Y-3=1(x-(-2)

Answer 16

Great!
You did it.
Some arrangement

Answer 17

but then I wound up getting y+1x-1

Answer 18

Y=1x-1 I mean

Answer 19

\[\frac{ y-3 }{ x-(-2) }=1\]
\[y-3=x+2\]
\[y=x+5\]

and this this the graph of that line

Answer 20

The possible answers i was given were:

x − y = −1
x − y = −2
x − y = − 5
x − y = − 6

Answer 21

got it?
If you stuck to anything, tell me.

Answer 22

Out of these choices, is it the first one?

x − y = −1
x − y = −2
x − y = − 5
x − y = − 6

Answer 23

Easy
if we rearrange the last form, we get
\[y=x+5\]
\[y-y=x+5-y\]
\[x-y-5=0\]
\[x-y-5+5=0+5\]
\[x-y=-5\]

Hope that helps

Answer 24

Ohh I see, Thank you!

Answer 25

Thank you for learning!!

Answer 26

and
Thank you for the medal!

Answer 27

y-y1=m(x-x1)
\[m=\frac{ y2-y1 }{ x2-x1 }\]