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a.)
y=x-6 Graph each linear equation usens the table point plotting method

a.) $y=x-6$ Graph each linear equation usens the table point plotting method

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Domain and range of quadratic functions: equations

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Q. a.)

y=x-6

Graph each linear equation usens the table point plotting method

Create Table of Values: To graph the linear equation $y = x - 6$ using the table point plotting method, we first need to create a table of values. We will choose a few values for $x$ and then calculate the corresponding $y$ values.
Calculate Y-Values: Let's choose $x$ -values of $-2$ , $0$ , $2$ , $4$ , and $6$ . Now we will calculate the corresponding $y$ -values using the equation $y = x - 6$ .
Plot Points on Grid: For $x = -2$ : $y = -2 - 6 = -8$ $\newline$ For $x = 0$ : $y = 0 - 6 = -6$ $\newline$ For $x = 2$ : $y = 2 - 6 = -4$ $\newline$ For $x = 4$ : $y = 4 - 6 = -2$ $\newline$ For $x = 6$ : $y = 6 - 6 = 0$ $\newline$ Now we have five points: $y = -2 - 6 = -8$ $0$ , $y = -2 - 6 = -8$ $1$ , $y = -2 - 6 = -8$ $2$ , $y = -2 - 6 = -8$ $3$ , and $y = -2 - 6 = -8$ $4$ .
Draw Line on Graph: Next, we plot these points on a coordinate grid. After plotting, we draw a straight line through the points to represent the linear equation $y = x - 6$ .
Determine Range: By observing the graph, we can determine the range of the function. Since the line extends infinitely in both the upward and downward directions, the range of the function is all real numbers.

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