Graph the linear equation y=3x+2

Answer 1

To graph the equation y = 3x + 2, we need to plot several points that satisfy the equation and then connect them with a straight line.
Let's choose x-values of -2, 0, and 2 and find the corresponding y-values:

When x = -2,
y = 3(-2) + 2
y = -6 + 2
y = -4

So one point is (-2, -4).

When x = 0,
y = 3(0) + 2
y = 0 + 2
y = 2

So another point is (0, 2).

When x = 2,
y = 3(2) + 2
y = 6 + 2
y = 8

So another point is (2, 8).

We can plot these points and connect them with a straight line:

(-2, -4) (0, 2) (2, 8)

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This straight line represents the graph of y = 3x + 2.