Question

What is the slope-intercept form of the function described by this table?

x 1 2 3 4
y 1 −2 −5 −8

Answer 1

do you know how t find the slope?

Answer 2

not really

Answer 3

for the fist y value, are you sure it's 1?

Answer 4

as x goes up by 1's what does y decrease by..?

Answer 5

yes

Answer 6

by 3 i think

Answer 7

well its actually -3 thats the slope...

each y value changes by -3

so the equation is

y = -3x + b

to find the value of b, just substitute any of the points

say x = 1 and y = 1

so

1 = -3*1 + b

find b

Answer 8

wait i don't get it

Answer 9

help!! ;)

Answer 10

ok, the change in the y's as x change by 1's is the slope...

Answer 11

The equation he used was \[m=\frac{ y1-y2 }{ x2-x1 }\]

Answer 12

so the slope intercept form of the equation is

y = mx + b m = sloep and b = y- intercept

you found the slope m = -3

so the equation is

y = -3x + b

you have a table of points (1, 1) is a point on the line

so substitute the values x = 1 and y = 1 into the equation to find b

so you need to solve

\[1 = -3 \times 1 + b\]

what value do you think b has...?

Answer 13

Choose two points doesn't matter just choose two

Answer 14

Slope = the change in the rise ( change in Y) divided by the change in the run (change in X). For this problem, Lizz123 gave you the correct formula. Just make sure that you use the correct numerators (Y's) and denominators (X's)

Answer 15

so i think b= 1 or 2 i think

Answer 16

No, there is a pattern in the y-axis.

Answer 17

close here is the table and you can use that

Answer 18

the pattern is it decreasing by -3

Answer 19

Yes.

Answer 20

When I teach about slope I don't use b. Just use two points on the graph and do the simple formula that Lizz123 gave you and it is a breze.

Answer 21

so ? - 3 = 1 what is ?

Answer 22

So, now your answer is what?

Answer 23

@tigergirl0000

Answer 24

Question @fribby.... why do you want to fill people's heads with formula... when understanding patterns achieves the same result
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Answer 25

the answer is y= -3x + 1 or 0 idk

Answer 26

no

Answer 27

ok.... its close....

its just finding the value of b... called the y- intercept....

can you tell me the missing number in the sum

___- 3 = 1

Answer 28

2?

Answer 29

@tigergirl0000 you said b=-3 so using what you said: y=-3-/+b

Answer 30

2 - 3 = -1

can you try again..

Answer 31

What is b?

Answer 32

ok.... does this make sense

4 - 3 = 1....?

Answer 33

yea that makes sense

Answer 34

does b= -3

Answer 35

yes

Answer 36

write the equation y=-3-?

Answer 37

so the missing value in the table is 4...

the point (0,b) is the y- intercept

and in the table b = 4

so the equation is

y = -3x + 4