Question

The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:

The title of the graph is Tennis Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)

Answer 1

is this a test?

Answer 2

no, it's for this homework sheet i got from my teacher.

Answer 3

🤨 ok..

Answer 4

i'm just having trouble

Answer 5

What do you think the y-intercept is?

Answer 6

Idk, i'm having a lot of trouble with it

Answer 7

Hint: Its between 2 and 4 and it's where the line starts.

Answer 8

wait, sorry for asking and mostly likely sounding stupid. whats a y-intercept? i just started this lesson so

Answer 9

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
wait, sorry for asking and mostly likely sounding stupid. whats a y-intercept? i just started this lesson so
\(\color{#0cbb34}{\text{End of Quote}}\)
ohh XD, y-intercept is where the line passes the y-axis

Answer 10

oh, ok thank you

Answer 11

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
oh, ok thank you
\(\color{#0cbb34}{\text{End of Quote}}\)
so, what do u think it is?

Answer 12

it's 0,3?

Answer 13

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
it's 0,3?
\(\color{#0cbb34}{\text{End of Quote}}\)
Correct!

Answer 14

YAY!

Answer 15

ok, so now what do u think it represents?

Answer 16

Where the line takes place or well starts to take place.

Answer 17

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
Where the line takes place or well starts to take place.
\(\color{#0cbb34}{\text{End of Quote}}\)
yea.. but based on graph,

Hint: With ___ months of practice, the tennis students won ___ matches.


Fill in the blanks^^

Answer 18

uhhh, 13, and idk the last one

Answer 19

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
uhhh, 13, and idk the last one
\(\color{#0cbb34}{\text{End of Quote}}\)
no, we are using the numbers from the y-intercept.. does that make sense?

Answer 20

so 0,3

Answer 21

Yes, with 0 months of practice, the tennis students won 3 matches.

Answer 22

ohhh, wow this is easy now that i kinda understand it

Answer 23

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
ohhh, wow this is easy now that i kinda understand it
\(\color{#0cbb34}{\text{End of Quote}}\)
lol yea, that's part 1, now lets do part 2

Answer 24

ok

Answer 25

do you know how to find slope?

Answer 26

To find the slope you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer 27

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
To find the slope you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
\(\color{#0cbb34}{\text{End of Quote}}\)
yesssss, so pick two points, you can use 5,12 and 7,16 if u want

Answer 28

ok, well i'm having trouble doing that

Answer 29

I attached a photo to find slope

Answer 30

Does it make sense or no?

Answer 31

yea

Answer 32

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
yea
\(\color{#0cbb34}{\text{End of Quote}}\)
great, so now we can write our equation

y = mx + b

m = slope
b = y-intersept

y = 2x + 3.3

Answer 33

so, after that would we solve or leave it?

Answer 34

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
so, after that would we solve or leave it?
\(\color{#0cbb34}{\text{End of Quote}}\)
it says 13 months so we have to substitute x with 13 and solve for y

y = 2(13) + 3.3

Answer 35

oh ok.

Answer 36

So, can you solve for it or do u need my help?

Answer 37

i believe i'll need help

Answer 38

ok, so y = 2(13) + 3.3

Start by multiplying.. 13 x 2 = ?

Answer 39

it's 26

Answer 40

yes, so now, do 26 + 3.3

Answer 41

k, so that's 29.3

Answer 42

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
k, so that's 29.3
\(\color{#0cbb34}{\text{End of Quote}}\)
correct, so that means they can win 29 matches after 13 months of practice.

Answer 43

OHHH

Answer 44

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
OHHH
\(\color{#0cbb34}{\text{End of Quote}}\)
yeah, understand now?

Answer 45

Thank you so much. That helped a lot and yeah i understand now.

Answer 46

\(\color{#0cbb34}{\text{Originally Posted by}}\) @hi123654789
Thank you so much. That helped a lot and yeah i understand now.
\(\color{#0cbb34}{\text{End of Quote}}\)
ok!! glad to help!!