Question

Complete the equation of the linear function.

y =____x +____

http://static.k12.com/calms_media/media/1524000_1524500/1524412/1/4ca0974cc0b94f0ca087c628d4c99d7f088b0730/MS_IMC-140901-106145.jpg

@freckles

Answer 1

so we need to find the slope and the y-intercept

Answer 2

the y-intercept is easy to find
just find what number is being hit on the y-axis

Answer 3

-3

Answer 4

on the y-axis?

Answer 5

no wait 1

Answer 6

so we have y=mx+1

Answer 7

how do we find the slope?

Answer 8

we can find m by using a point on the line besides the y-intercept point

Answer 9

so do you see any other points on that line

Answer 10

i just see (2,-3)

Answer 11

and (1,-1)

Answer 12

we can use that point for sure (but there are infinitely many points but some points are easier to read then others)
we just need one

Answer 13

so (2,-3)

Answer 14

we have the line so far is y=mx+!

Answer 15

y=mx+1

Answer 16

replace x with 2 and y with -3 and solve for m

Answer 17

that is you have
-3=m(2)+1

Answer 18

solve that for m

Answer 19

sorry to be a bother but how do i do that?

Answer 20

how to solve for m?

Answer 21

-3=2m+1
we want to isolate m
first we will need to isolate 2m
but to do that we will have to subtract 1 on both sides

Answer 22

can you subtract 1 on both sides

Answer 23

-4

Answer 24

so we have -4=2m

Answer 25

so m=-4/2

Answer 26

but simplify taht and you get -2

Answer 27

you could have also done this:
\[y=\frac{y_2-y_1}{x_2-x_1}x+\text{ y-intercept } \\ y=\frac{-3-1}{2-0}x+1\]
yes

Answer 28

I used the points (2,-3) and (0,1) to find the slope this way
just using the slope formula (change of y over change of x )

Answer 29

so it would be y=-2x+1?

Answer 30

yes

Answer 31

thanks