The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
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. (5 points)

- muscrat123

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- muscrat123

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- muscrat123

@Nnesha

- muscrat123

@jim_thompson5910

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## More answers

- muscrat123

@ganeshie8 @Hero

- muscrat123

@campbell_st

- campbell_st

A where does the line cut the y-axis

- muscrat123

?

- campbell_st

y axis is the vertical axis

- muscrat123

i know but what do u mean cut?

- campbell_st

where it starts on the vertical axis

- muscrat123

3?

- campbell_st

seems to be a bit more that half way between 2 and 4

- muscrat123

3.5?

- campbell_st

ok...
part B, find the slope of the line

- muscrat123

so part a is 3.5?
and i have trouble finding slope

- campbell_st

well you have 1 point (0. 3.5)
find another point on the line.

- muscrat123

(1,3)

- campbell_st

I don't think (1, 3) is on the line... on the x axis go up x = 5 till you hit the line
what is the point..?

- muscrat123

1,3 is the second point

- muscrat123

and 5,12

- muscrat123

@triciaal @campbell_st

- muscrat123

@Nnesha

- campbell_st

great so you have 2 points
(0, 3.5) and (5, 12) so how far from 0 to 5 this is the run
and how far from 3.5 to 12 this is the rise

- muscrat123

?

- campbell_st

if you start at 0 and go to 5, have far did you go..?
and if you start at 3.5 and go to 12 how far did you go..?|dw:1438916881622:dw|

- muscrat123

8.5 and 5

- campbell_st

great |dw:1438917057707:dw|
slope is m = 8.5/5
the the equation of your line is
y = mx + 3.5
just calculate m and substitute it into the equation

- muscrat123

what is m?

- muscrat123

@teddydaddy23

- campbell_st

m is called the slope of the line... and its defined by
m = rise/run
you have a rise of 8.5 and a run of 5

- muscrat123

so what do i do?

- muscrat123

plz its 11:15 and i gotta get up at 6 and i have 8 more lessons to do right now tonight

- muscrat123

@dreamio

- muscrat123

@campbell_st

- muscrat123

@i_am_a_dude

- campbell_st

so 8.5/5 = 1.7
so m = 1.7
the equation is y = 1.7x + 3.5
so substitute x = 13 and then calculate a y-value

- muscrat123

so the y-intercept is 1.7 @triciaal

- muscrat123

@i_am_a_dude

- triciaal

the y intercept is when x = 0
when x = 0 it is more than 2 glancing at the graph

- muscrat123

so what is the y intercept?

- triciaal

it represents the number of wins without practice

- triciaal

(5,12) and (1, 5)
7/4
12 = 7/4(5) + b
(48-35)/5 = 2.6

- triciaal

guess needs to be rounded can only use whole numbers so y-intercept 3

- triciaal

y = m x + b
y = (7/4) * 13 + 3
26

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