The description below represents Function A and the table represents Function B.
Function A
The function is 8 more than 3 times x.
Function B
x
y
-1
2
0
5
1
8
Which statement is correct about the slope and intercept of the two functions?
Their slopes are equal but y intercepts are not equal.
Their slopes are not equal but y intercepts are equal.
Both slopes and y intercepts are equal.
Neither slopes nor y intercepts are equal.
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OpenStudy (lena772):
Function B
x y
-1 2
0 5
1 8
OpenStudy (lena772):
@Easyaspi314
OpenStudy (lena772):
@hartnn
OpenStudy (lena772):
@ranga
OpenStudy (lena772):
@shamil98
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hartnn (hartnn):
A : 8 more than 3 times x -----> 3x +8
right ?
OpenStudy (lena772):
Correct
OpenStudy (shamil98):
x,y
-1,2
0,5
1,8
OpenStudy (shamil98):
like that?
OpenStudy (lena772):
Yes, like that Shamil.
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hartnn (hartnn):
for function B , you have 2 points (infact 3 , use any 2)
and try to find the slope.
OpenStudy (shamil98):
Yeah, then compare it with the slope of y = 3x + 8
m = 3/1
OpenStudy (lena772):
m=4?
hartnn (hartnn):
no, how?
OpenStudy (shamil98):
-1,2
0,5
y2-y1 / x2 - x1
5 - 2 / 0 -(-1) = m
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OpenStudy (lena772):
Sorry, my bad.
OpenStudy (lena772):
m=3 for function B
OpenStudy (lena772):
OR -3?
hartnn (hartnn):
yes 3 , and the equation ?
OpenStudy (lena772):
y=mx+b
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OpenStudy (lena772):
So the slopes for functions A&B are definitely the same.
OpenStudy (lena772):
So we can eliminate the second and fourth answers
hartnn (hartnn):
yes.
to get 'b', put x=0 in y=mx+b
hartnn (hartnn):
and y= 5
since 0,5 lies on the line
OpenStudy (lena772):
y=3*0+b
y=0+b
y=b
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hartnn (hartnn):
so, b=5, right ?
OpenStudy (lena772):
So y-intercepts are NOT equal, choice A is correct?
OpenStudy (lena772):
Yes b=5
hartnn (hartnn):
yup.
OpenStudy (lena772):
How did you know that (0,5) thing
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hartnn (hartnn):
x y
-1 2
0 5
1 8
3 points are (-1,2) , (0,5) and (1..8)
hartnn (hartnn):
(1,8)
hartnn (hartnn):
i can choose any one to find b
OpenStudy (lena772):
Oh ok, thank you!
hartnn (hartnn):
welcome ^_^
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