How do you graph 3x + 2y = 6?

Answer 1

Find two arbitrary point solutions to the given linear equation and draw a straight line that goes through both points.

Probably the easiest two point to evaluate are the intercepts. When #x=0# #color(white)("XXXX")##3(0)+2y = 6# implies #y=3# and when #y=0# #color(white)("XXXX")##3x+2(0) = 6# implies #x= 2#
So if we draw a straight line through #(0,3)# and #(2,0)# we will get the graph for ##3x+2y = 6#

graph{3x+2y = 6 [-4.02, 5.843, -0.292, 4.638]}

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Answer 2

To graph the equation 3x + 2y = 6, you can rearrange it into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, solve for y:

2y = -3x + 6 y = (-3/2)x + 3

Now, plot the y-intercept, which is 3, on the y-axis. Then, use the slope -3/2 to find another point on the line. For example, if you move 2 units to the right (since the denominator of the slope is 2), you move 3 units down (since the numerator of the slope is -3).

Plot the second point and draw a straight line through both 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.

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.

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.

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.

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