SOLUTION: Mr. Williams asks his Algebra I class to find the solutions to an equation in two variables with the set of real numbers. Colton correctly creates the table below using valu

Question 1164438:
Mr. Williams asks his Algebra I class to find the solutions to an equation in two variables with the set of real numbers.

Colton correctly creates the table below using values from the domain of the equation. He then uses this table to create a graph.
The coordinates on the table and graphs are (0,-4)(2,-1.5)(-2,-6.5)(5,2.25)(-8,-14)(10,8.5)
Determine the equation Colton used to create the table. Use mathematical reasoning to justify that the equation is correct. The equation Colton used is f(x)= 1.25x -4. The equation is correct because to get that exact table and graph this equation is the only one that can achieve that according to the work below.
m=y2-y1 / x2-x1
m= 8.5-2.25 / 10-5
m= 6.25 / 5
m= 1.25.

Destiny sees Colton’s work and argues that any table contains some but not all of the solutions to Mr. Williams’ equation. Do you agree or disagree with Destiny? Explain why or why not.

Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
Plot those points. The graph looks like a line. Draw line through the points.

Identify y-intercept: It looks like (0,-4).
Slope, from ANY pair of points: m=1.25
Function according to form y=mx+b:

The y-intercept WAS already given.
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