How do you find the slope parallel to #3y=-2x+5#?

Answer 1

Finding the slope parallel to this line means finding the slope of this line, since parallel lines are defined as lines with the same slope!

In this case the slope is #m=-2/3#.

First rearrange the equation of the line into slope-intercept form, #y=mx+c#. Then #m# is the slope and #c# is the y-intercept.

In this case this basically just requires dividing both sides by 3:

#y=-2/3x+5/3#
The slope, #m#, is simply #-2/3#.

(note that I have solved this question in 2-dimensional space. In 3D (or higher) it gets a little more complex but the principles are the same)

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Answer 2

To find the slope parallel to the equation 3y = -2x + 5, you need to rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope. Then, identify the slope from the equation. In this case, the slope is -2. Therefore, any line parallel to this equation will also have a slope of -2.

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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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