Which is always a correct conclusion about the quantities in the function y=x+8?
A. The variable x is always 8 more than y.
B. The variable y is always greater than x.
C. As the value of x increases,the value of y decreases.
D. When the value of x is negative, the value of y is also negative.
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OpenStudy (anonymous):
I think the answer is c
OpenStudy (anonymous):
I would first eliminate the obvious two C and D
add 1 to 8 and y increases
make x= -1 and y is positive
OpenStudy (anonymous):
not C
jimthompson5910 (jim_thompson5910):
What's the slope of y=x+8 ?
OpenStudy (anonymous):
X is the slope
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jimthompson5910 (jim_thompson5910):
go back to y = mx+b
m is the slope
jimthompson5910 (jim_thompson5910):
example
y = 3x - 10 is in the form y = mx+b where
m = 3
b = -10
so the slope of y = 3x - 10 is m = 3
jimthompson5910 (jim_thompson5910):
you can write y = x+8 as y =1x + 8
OpenStudy (anonymous):
I still don't get it I've never been good in this subject
jimthompson5910 (jim_thompson5910):
basically the slope is just the number in front of x (the coefficient of x)
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jimthompson5910 (jim_thompson5910):
it will visually tell you if the line is going up (increasing) or going down (decreasing) as you move from left to right
OpenStudy (anonymous):
So it's 1x the slope
jimthompson5910 (jim_thompson5910):
just 1, not 1x
jimthompson5910 (jim_thompson5910):
1 is the slope
that's positive
so this line is increasing
OpenStudy (anonymous):
Oh ok
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OpenStudy (anonymous):
The answer is A
jimthompson5910 (jim_thompson5910):
let's say x = 1
what is y when x = 1 ?
OpenStudy (anonymous):
Idk
jimthompson5910 (jim_thompson5910):
use y =x+8 to find out
jimthompson5910 (jim_thompson5910):
plug in x = 1 and evaluate
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OpenStudy (anonymous):
I don't have a calculator
jimthompson5910 (jim_thompson5910):
all you're doing is replacing and adding
jimthompson5910 (jim_thompson5910):
y = x+8
y = 1+8
y = ?
OpenStudy (anonymous):
9
jimthompson5910 (jim_thompson5910):
x = 1, y = 9
is "The variable x is always 8 more than y" true?
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OpenStudy (anonymous):
True
jimthompson5910 (jim_thompson5910):
x = 1 is 8 more than y = 9 ?
OpenStudy (anonymous):
The answer is a because it 8 more than y
jimthompson5910 (jim_thompson5910):
1 is not 8 more than 9
if it was stated the other way around, then it would be true