# How do you graph the line #4x+3y-12=0#?

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See full explanation for more detail:

The graph can be created by plotting these points on a Cartesian plane and drawing a line between them.

A graph of the function with the intercepts in frame is attached below:

graph{y=-4/3x+4 [-10.54, 9.54, -2.92, 7.08]}

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To graph the line 4x + 3y - 12 = 0, first rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

4x + 3y - 12 = 0 3y = -4x + 12 y = (-4/3)x + 4

The slope of the line is -4/3, which means that for every increase of 1 in x, y decreases by 4/3. The y-intercept is 4, which is the point where the line crosses the y-axis.

Plot the y-intercept at (0, 4), then use the slope to find another point. For example, if you increase x by 3, y would decrease by 4, giving you the point (3, 0).

Draw a straight line through these two points to graph the line.

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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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