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
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