Question

Use the graph or table to find the equation that represents the relationship.

Answer 1

The equations of the functions are y = 3x - 5 and y = 3.25x + 2

What are linear equations?

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

How to write an equation for the tables?

The given parameters are the datasets represented by the tables

On the table, we have the following points

(x, y) = (2, 1) and (1, -2)

Calculate the slope using

m = (y2 - y1)/(x2 - x1)

So, we have

m = (-2 - 1)/(1- 2)

Evaluate

So, we have

m = 3

The linear equation is then calculated as

y = m(x - x1) + y1

So, we have

y = 3(x - 2) + 1

Evaluate

y = 3x - 5

For the second table, we have

Slope, m = (12 + 1)/(18 - 14)

Evaluate

So, we have

m = 3.25

The linear equation is then calculated as

y = m(x - x1) + y1

So, we have

y = 3.25(x - 0) + 2

Evaluate

y = 3.25x + 2

Hence, the equations of the functions are y = 3x - 5 and y = 3.25x + 2

Read more about linear functions at

brainly.com/question/2476251

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