Simplify the Matrix

Problem

[[x,y],[1,3.75],[2,5],[3,6.25],[4,7.50],[5,8.75]]

Solution

1. Identify the relationship between the x and y values in the given matrix rows.

2. Calculate the rate of change (slope) between consecutive points.

m=(5−3.75)/(2−1)

m=1.25

3. Determine the yintercept by substituting a point into the linear equation y=m*x+b

3.75=1.25*(1)+b

b=2.5

4. Express the general relationship for y in terms of x

y=1.25*x+2.5

5. Simplify the matrix by representing the y column as a function of x

Final Answer

[[x,y],[1,3.75],[2,5],[3,6.25],[4,7.50],[5,8.75]]⇒y=1.25*x+2.5

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