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How do you graph #3x - 2y = 6# by plotting points?

Answer 1

Use graph paper or a spreadsheet program to calculate (x,y) pairs of solutions and place them on the graph.

This will be facilitated by first rearranging the equation into one that show a direct relationship between ‘x’ and’y’.
#3x − 2y = 6# ; #-2y = 6 – 3x# ; # y = -3 + (3/2)x# ; #y = (3/2)x - 3#

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Answer 2

Ethan Adkins

To graph the equation 3x - 2y = 6 by plotting points:

Choose at least two values for x.
Plug each value of x into the equation to find the corresponding values of y.
Plot the points (x, y) on the coordinate plane.
Connect the points with a straight line.

Let's choose x = 0 and x = 2:

When x = 0: 3(0) - 2y = 6 -2y = 6 y = -3

So, the point (0, -3) is on the graph.

When x = 2: 3(2) - 2y = 6 6 - 2y = 6 -2y = 0 y = 0

So, the point (2, 0) is on the graph.

Plot the points (0, -3) and (2, 0) on the coordinate plane and draw a line passing through these points. This line represents the graph of the equation 3x - 2y = 6.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.