Respuesta :

y = 2x - 3

when x = 0:  y = 2(0) - 3   = -3

when x = 1:   y = 2(1) - 3   = -1

when x = 2:   y = 2(2) - 3   = 1

when x = 3:   y = 2(3) - 3   = 3


     TABLE

    x     |     y

    0     |     -3

     1     |     -1

    2     |      1

    3     |      3


The example of the equation given in the question, i.e. y = 2x - 3 is a linear equation.

A linear equation is an equation among two variables( here, it is x and y) that result in a straight line graph when plotted on a graph.

Given that:

y = 2x - 3

For the value of x = 0, 1, 2, 3

This implies that from the given equation;

when we see x, we replace it with the values of x given in order to determine the value of y.

Starting with x = 0

y = 2(0) - 3

y = 0 - 3

y = -3

when x = 1

y = 2(1) - 3

y = 2 - 3

y = -1

when x = 2

y = 2(2) - 3

y = 4 - 3

y = 1

when x = 3

y = 2(3) - 3

y = 6 - 3

y = 3

Therefore, we can conclude that the complete table for the equation y = 2x - 3 is:

x- value      0      1      2      3

y -value      -3     -1     1       3

Learn more about linear equation here:

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