SOLUTION: Could you please help me with the following problem: The following data was obtained for two variables x and y. x 2 4 -2 3 6 y 5 0 15 2.5 -5 Write an equation expres

Question 665864: Could you please help me with the following problem:
The following data was obtained for two variables x and y.
x 2 4 -2 3 6
y 5 0 15 2.5 -5
Write an equation expressing the relationship of x and y.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
x 2 4 -2 3 6
y 5 0 15 2.5 -5

take two points and find equation of the line passing through these points
(,) and (,)

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) = (2, 5) and (x2, y2) = (4, 0).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-2.5)x + (10)

Your graph:

now take other two points
(,) and (,)

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) = (-2, 15) and (x2, y2) = (3, 2.5).
Slope a is .
Intercept is found from equation , or . From that,
intercept b is , or .

y=(-2.5)x + (10)

Your graph:

..same equation
now check if all points lie on same line:

since all points lie on same line, equation is an equation that expressing the relationship of and from your table

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