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OpenStudy (volleyballlover55):
@jim_thompson5910 please help me :)
jimthompson5910 (jim_thompson5910):
Do you see how (0,15) is one point on the line?
OpenStudy (volleyballlover55):
yes
OpenStudy (volleyballlover55):
is the answer d or c?
jimthompson5910 (jim_thompson5910):
let's ignore the answer choices for now
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jimthompson5910 (jim_thompson5910):
Do you see how (5,50) is another point on the line?
OpenStudy (volleyballlover55):
yes
jimthompson5910 (jim_thompson5910):
so we have these two points (0,15) and (5,50)
what's the slope of the line through these points?
OpenStudy (volleyballlover55):
i dont know how to find the slope
jimthompson5910 (jim_thompson5910):
Do you agree that the y coordinate of (0,15) is 15?
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OpenStudy (volleyballlover55):
yes
jimthompson5910 (jim_thompson5910):
what is the y coordinate of (5,50) ?
OpenStudy (volleyballlover55):
50
jimthompson5910 (jim_thompson5910):
yes so going from 15 to 50 is a difference of what?
in other words, what is 50-15 equal to?
OpenStudy (volleyballlover55):
35
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jimthompson5910 (jim_thompson5910):
good
now we do the same for the x coordinates of the two points (0,15) and (5,50)
5-0 = 5
agreed?
OpenStudy (volleyballlover55):
yes
jimthompson5910 (jim_thompson5910):
now we divide the two differences
(ydifference)/(xdifference) = 35/5 = 7
so the slope is 7
agreed?
OpenStudy (volleyballlover55):
yes
jimthompson5910 (jim_thompson5910):
the slope is 7
so m = 7
the y intercept is 15 because this is where the line crosses the y axis
so b = 15
therefore y = mx+b turns into y = 7x+15
do you agree?
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OpenStudy (volleyballlover55):
yes
jimthompson5910 (jim_thompson5910):
so now we have the equation of that line
we want to know the possible value of y when x = 7
plug x = 7 into that equation to find y
y = 7*x + 15
y = 7*7 + 15 ... replace x with 7
y = ???
OpenStudy (volleyballlover55):
64 points!!
jimthompson5910 (jim_thompson5910):
yep so the final answer is A
jimthompson5910 (jim_thompson5910):
Keep in mind that this is a best guess. It's not the actual value. The line of best fit does its best to predict y values based on x.
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OpenStudy (volleyballlover55):
ok :)
OpenStudy (volleyballlover55):
we took so long to answer this question.. lol
jimthompson5910 (jim_thompson5910):
It's better to go the longer route to help you understand it fully