Question

I medal! :>
In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of m?

m = 2
m = 3
m = 19
m = 35

Answer 1

We have three points:
(10,27), (11,m), (12,11)

Let's pick two of them, say (10,27) & (11,m)

Answer 2

You plug those coordinates into the slope formula

\[\Large Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

\[\Large Slope = \frac{m-27}{11-10}\]

replace "slope" with -8 because this is what we want the slope to be

\[\Large -8 = \frac{m-27}{11-10}\]

from here you solve for m

Answer 3

I'll let you do this part. Tell me what you get

Answer 4

m=19
Can you help me with more? @jim_thompson5910

Answer 5

m = 19 is correct

Answer 6

sure I can help

Answer 7

Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of change for the function graphed to the left?
2/5
5/4
5/3
5/2

Answer 8

you'll use the slope formula again

you can pick two points, say (4,0) and (8,10)

Answer 9

(x1,y1) = (4,0)

x1 = 4
y1 = 0

--------------

(x2,y2) = (8,10)

x2 = 8
y2 = 10

Answer 10

okay I'm using it now

Answer 11

@jim_thompson5910 I got -10... bur I think I messed up >.<

Answer 12

what is y2 - y1 equal to?

Answer 13

10

Answer 14

how about x2-x1

Answer 15

2/5 .. is that the answer >.<

Answer 16

you got it flipped

Answer 17

the y difference goes over the x difference

Answer 18

10/4 = 5/2

Answer 19

Ohhh okay thank you

Answer 20

np