SOLUTION: Please help me:Write a function rule that represents the function. (0,8),(1,6),(2,4),(3,2),(4,0)

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Question 407586: Please help me:Write a function rule that represents the function.
(0,8),(1,6),(2,4),(3,2),(4,0)

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
(0,8),(1,6),(2,4),(3,2),(4,0).......
take any two points and find a equation of straight line given 2 points

(0,8),(1,6)

Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (0, 8) and (x2, y2) = (1, 6).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%286-8%29%2F%281-0%29+=+-2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -2%2A0+%2Bb+=+8. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=8--2%2A0+=+8.

y=(-2)x + (8)

Your graph:





a equation is:
y=-2x+%2B+8
check for other two points

(3,2),(4,0)

Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (3, 2) and (x2, y2) = (4, 0).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%280-2%29%2F%284-3%29+=+-2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -2%2A3+%2Bb+=+8. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=2--2%2A3+=+8.

y=(-2)x + (8)

Your graph:





a equation is same:
y=-2x+%2B+8