Question

PLZ HELP WILL MEDAL AND FAN!!
For the table, determine whether the relationship is a linear function. Then represent the relationship using words, an equation, and a graph.

Answer 1

@AskMeLotss

Answer 2

you are so cute and i wish i could help but idk it

Answer 3

ok thx for trying :)

Answer 4

@Hero

Answer 5

Notice that for each increase of 1 in x , y increases by 3.

So y is increasing in constant steps for each increase of 1 ib x

Do you think this is a linear function? If you drew a graph would it be a straight line?

Answer 6

ya

Answer 7

i think its a linear functon

Answer 8

you are right
one more thing y has a starting value of 5 when x = 0
also the slope of the line will be 3 because y is increasing in steps of 3

Answer 9

straight lines have a standard equation

y = mx + b

where m = slope and b is the value of y when x = 0

so what do you think the equation be?

Answer 10

but 0+3 doesn't = 5 ??????

Answer 11

m = 3 and b = 5 right?

Answer 12

i guess

Answer 13

so plug those values into the standard form

Answer 14

ok

Answer 15

y = 3x + what?

Answer 16

5?

Answer 17

yes
y = 3x + 5 is the required equation
now you see why y = 5 when x = 0

plug in x = 0:-

y = 3(0) + 5
y = 0 + 5
y = 5

Answer 18

ohhh okay now i get it

Answer 19

if you draw the graph it will look something like