SOLUTION: what is the y-intercept of the function, represented by the table of values x y -2 14 1 8 2 6 4 2 7 -4

Algebra ->  Linear-equations -> SOLUTION: what is the y-intercept of the function, represented by the table of values x y -2 14 1 8 2 6 4 2 7 -4      Log On


   

Question 971496: what is the y-intercept of the function, represented by the table of values
x y
-2 14
1 8
2 6
4 2
7 -4
Found 2 solutions by erica65404, Alan3354:
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
you use this equation to find the y int
y=mx%2Bb where b is the y int
and m is the slope.

step 1:
find the slope

to do this you will need 2 points.
(1,8)(2,6)
put these points into the following equation
%28y%5E2-y%5E1%29%2F%28x%5E2-x%5E1%29
%286-8%29%2F%282-1%29
-2%2F1
The slope or m is -2.

step 2:
find b

once givce the slope, you now have
y=-2x%2Bb
using a point
(1,8)
you can find b
y=-2x%2Bb%0D%0A%7B%7B%7B8=-2%281%29%2Bb
8=-2%2Bb
10=b
since b is the y int, the y int is 10 or (0,10)
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if you have any other questions, feel free to email me at ericahigley@yahoo.com

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what is the y-intercept of the function, represented by the table of values
x y
-2 14
1 8
2 6
4 2
7 -4
------------------
You can pick any 2 points, find the equation, then find the y-intercept.
---
Or, you can see from this pair
1 8
2 6
that y increases 2 when x decreases by 1
Subtract 1 from x --> add 2 to y.
--> (0,10)