SOLUTION: define variables and write an equation to model the relationship in the table payment change

Question 764747: define variables and write an equation to model the relationship in the table
payment change
$1 $9
$2 $8
$3 $7
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
payment change
$ $
$ $
$ $
if payment represents and change , we have points (,),(,),(,) that should lie on same line; so, we can fine a line passing through two points:

Solved by pluggable solver: Find the equation of line going through 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) = (1, 9) and (x2, y2) = (2, 8).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-1)x + (10)

Your graph:

so, equation is
now we can check if all three points lie on this line:

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