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The function

[tex]y=2x-4[/tex]

is a polynomial with degree 1, and thus a line. To draw a line you simply have to sample two points and connect them.

To sample points, pick any value for x and use the function expression to derive the value for y. For example, you may choose x=0, x=2 to get

[tex]f(x) = 2x-4 \implies f(0) = -4,\quad f(2)=0[/tex]

So, the line passes through the points

[tex](0,-4),\quad (2,0)[/tex]

Draw them and connect them, and you have the line.

To complete the grid, you simply have to plug the variable you're given, and solve for the other. For example, we are given x=-2, and we can solve for y as follows:

[tex]3x+2y=6 \implies 3(-2)+2y=6 \iff 2y=12 \iff y=6[/tex]

Plug x=1 and x=2 and solve for y to complete the grid.

Answer:

Step-by-step explanation:

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FalconRob

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The function

y=2x-4

is a polynomial with degree 1, and thus a line. To draw a line you simply have to sample two points and connect them.

To sample points, pick any value for x and use the function expression to derive the value for y. For example, you may choose x=0, x=2 to get

f(x) = 2x-4 \implies f(0) = -4,\quad f(2)=0

So, the line passes through the points

(0,-4),\quad (2,0)

Draw them and connect them, and you have the line.

To complete the grid, you simply have to plug the variable you're given, and solve for the other. For example, we are given x=-2, and we can solve for y as follows:

3x+2y=6 \implies 3(-2)+2y=6 \iff 2y=12 \iff y=6

Plug x=1 and x=2 and solve for y to complete the grid.

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