Question

What is the standard form equation of the line shown below?

Answer 1

what is the line?

Answer 2

Is this a straight line or parabola or what? Answer me and I will guide you.

Answer 3

straight line

Answer 4

The general form of line equation is
\[ay+bx+c=0\]
or \[y=mx+b\]
where
m is the slope of the line
and
b is the intersect with y-axis

Answer 5

GOOOOOD!

Answer 6

ok

Answer 7

So we will choose the line equation. ok?

Answer 8

ok

Answer 9

Can you determine the two points the line passes through?

Answer 10

from the figure?

Answer 11

-2,3 and 1,-3

Answer 12

Nice!

Answer 13

Why would we use these to points in your opinion?

Answer 14

what?

Answer 15

to find out the slope m

Answer 16

Do you know how to calculate the slope using two points on the line?

Answer 17

y=mx+b ?

Answer 18

This is the form of the line equation as you know m and b
but do you know m?

Answer 19

no

Answer 20

The slope could be calculated using this formula
\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]
where the two points are
\[(x_1,y_1),(x_2,y_2)\]

Answer 21

got it?

Answer 22

could you calculate it yourself?

Answer 23

im having a hard time

Answer 24

Why?

Answer 25

are you married?

Answer 26

what? no why?

Answer 27

just joking.
student at what grade, if I may know?

Answer 28

easily you can substitute with x and y values to get m
and point will be the first, doesn't matter which one you choose for the first or the second point. I think you know that trick!

Answer 29

any point could be the first

Answer 30

ok

Answer 31

I am with you, don't worry.
every thing passes, even life with its hard time

Answer 32

I should go sleep now, but I won't until you finish that EASY problem and you got satisfied.

Answer 33

\[m=\frac{ -3-3 }{ 1-(-2) }=\frac{ -6 }{ 3 }=-2\]

Answer 34

This is the slope.
Now we want the point at which the line intercepts with y-axis.....from the graph,

Answer 35

please be with me

Answer 36

im giving up

Answer 37

no
don't give up

Answer 38

ok
i will continue

Answer 39

the point is (0,-1)
then the value of b is -1

Answer 40

so the final form of the line equation is\[y=-2x-1\]

Answer 41

Done!

Answer 42

got it?

Answer 43

Thanks for the medal!
I will go now.
Excuse me!

Answer 44

thanks