Question

i need help to do this the last one was marked as wrong i didnt know a dashed line was needed plz help

Answer 1

Do you know how to graph the line y=x+3 ?

Answer 2

Do you know how to identify the slope and y-intercept of the graph that will given by the function f(x)=x+3 ?

Answer 3

i dont know

Answer 4

f(x)=mx+b tells us the slope is m and the y-intercept is (0,b)

Answer 5

so can you identify m and b?

Answer 6

for that dont you have to substitute 0 for x ?

Answer 7

to identity m and b no
but you could do that to find the y-intercept

but you do not have do any math to compare
f(x)=mx+b
to
f(x)=x+3
to identify m and b

Answer 8

what values for m and b would make mx+b the same as x+3 ?

Answer 9

slope 1 and y int 3?

Answer 10

yes the slope m is 1
and the y-intercept is (0,b) or (0,3) in this case

Answer 11

So plot the point (0,3) first

Answer 12

That will a point on the y-axis between 2 and 4

Answer 13

then use your slope to plot another point

Answer 14

that would be (0,1)?

Answer 15

and connect the dots with a dashed line since you have < or >

you would use a solid line if you had a line underneath the inquality like \[\ge \text{ or } \le\]

Answer 16

how did you get the point (0,1)?

Answer 17

because of the slope 1 i thought (0,1)?

Answer 18

slope=rise/run

Answer 19

sorry sorry its (1,0)

Answer 20

you have slope=1=1/1=rise/run
rise once from your y-intercept and run once then you have your next point

Answer 21

like this @myininaya

Answer 22

no you have drawn a line with a negative slope
we have a positive slope

Answer 23

1/1

can you put your finger on (0,3)?

Answer 24

now use your finger and go up once and to the right once

Answer 25

since the slope is 1/1

Answer 26

this?

Answer 27

i re made it does it look right

Answer 28

you are still now doing what I ask :(

put your finger on (0,3) and we are going to find another point by using the slope which is 1/1
which tells us from the y-intercept we are going to rise up once and move right once
can you do this?

Answer 29

tell me what position your finger lays when you do this

Answer 30

position/coordinates

Answer 31

is that (2,5)?

Answer 32

what is 3+1?

Answer 33

4
so its now set at (1,4)

Answer 34

you did it
yes if you use the slope 1/1 to find another point from (0,3) you should get (1,4)
conned those dots with a broken line

Answer 35

connect*

Answer 36

there is one part to this graph

Answer 37

y<x+3
means we want to shade everything below the line y=x+3 since < means less than

if we had y>x+3 instead
this would mean we want to shade everything above the line y=x+3 since > means greater than

Answer 38

its incorrect according to the homework

Answer 39

can i see what you entered?

Answer 40

what i had done before and the message

Answer 41

where is the shading part?

Answer 42

did you read what I said about the shading part above?

Answer 43

y<x+3 means y-coordinates of every point is less than y=x+3
this means you need to shade everything below the broken line you have for y=x+3

Answer 44

so how would i do that (0,3) and do i go down to the left

Answer 45

if you had y>x+3 this means we would shade everything above the broken line y=x+3

Answer 46

you already drew a broken line at y=x+3 ...

Answer 47

you only need to shade below the line

Answer 48

you still need to shade below the line to show all the points that are a solution of y<x+3