How to find an equation from a table of values

Asked by admin @ 09/11/2021 in Mathematics viewed by 317 People

1. Find the equation of the line that is modeled by the values in the table shown below.

Answered by admin @ 09/11/2021

Answer: y=5/2x-4

Slope:

The y values are increasing by 5

The x values are increasing by 2

Put these numbers over each other for slope. The slope becomes 5/2.

Y-intercept:

Put the slope into a model equation

y=mx+b

y=5/2x+b

Now let’s solve by substituting a point into this equation. We will use the first point, (2,1)

1=5/2(2)+b

*multiply*

1= 5+b

*subtract 5 from both sides*

-4=b

Final equation: y=5/2x-4

Hope this is right and it helps comment below for more questions :)

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