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Graph each Linear equation the table point-plotting method
1.)
y=2x

Graph each Linear equation the table point-plotting method $\newline$ $1$ .) $y=2 x$

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Describe the graph of a linear equation

Full solution

Q. Graph each Linear equation the table point-plotting method

\newline

1

.)

y=2 x

Identify Equation Type: Identify the type of the equation. $\newline$ The given equation $y = 2x$ is a linear equation in slope-intercept form, where the slope ( $m$ ) is $2$ and the y-intercept ( $b$ ) is $0$ .
Create Table of Values: Create a table of values. $\newline$ Choose values for $x$ and calculate the corresponding $y$ values using the equation $y = 2x$ . Let's choose $x$ values of $-2$ , $-1$ , $0$ , $1$ , and $2$ .
Calculate Y Values: Calculate the y values. $\newline$ For $x = -2$ : $y = 2(-2) = -4$ $\newline$ For $x = -1$ : $y = 2(-1) = -2$ $\newline$ For $x = 0$ : $y = 2(0) = 0$ $\newline$ For $x = 1$ : $y = 2(1) = 2$ $\newline$ For $x = 2$ : $y = 2(2) = 4$
Plot Points on Graph: Plot the points on a graph. Plot the points $(-2, -4)$ , $(-1, -2)$ , $(0, 0)$ , $(1, 2)$ , and $(2, 4)$ on the coordinate plane.
Draw Line: Draw the line. $\newline$ Connect the points with a straight line, which extends infinitely in both directions. This line represents all the solutions to the equation $y = 2x$ .

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