Slope

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1

Find the slope of the following equation:

CORRECT

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Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First subtract 2x from both sides:

That gives us the following:

Divide all three terms by three to get "y" by itself:

This means our "m" is -2/3

2

Find the slope of the following equation:

CORRECT

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Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First add x to both sides:

That gives us the following:

Divide all three terms by four to get "y" by itself:

This means our "m" is 1/4

3

Find the slope of the following equation:

CORRECT

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Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

Our equation is already in the "y=mx+b" format, so our "m" is 6.

4

Find the slope of the following equation:

CORRECT

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Explanation

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

To put our equation in the "y=mx+b" format, flip the two terms on the right side of the equation:

So our "m" in this case is -2.

5

Find the slope of the equation:

CORRECT

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Explanation

To determine the slope, we need the equation in slope intercept form.

Multiply by four on both sides to eliminate the fraction.

Add on both sides.

Combine like-terms.

Divide by nine on both sides.

The value of , or the slope, is .

6

Given the points and , what is the slope?

CORRECT

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Explanation

Write the slope equation.

Substitute the points and solve for the slope.

The answer is:

7

What is the slope of the line depicted by this equation?

CORRECT

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Explanation

This equation is written in standard form, that is, where the slope is equal to .

In this instance and

This question can also be solved by converting the slope-intercept form: .

8

What is the slopeof the line between the points (-1,0) and (3,5)?

CORRECT

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Explanation

For this problem we will need to use the slope equation:

In our case and

Therefore, our slope equation would read:

9

What is the slope of the function

2

CORRECT

6

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4

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Explanation

To find the slope of this function we first need to get it into slope-intercept form

where

To do this we need to divide the function by 3:

From here we can see our m, which is our slope equals 2

10

What is the slope of the function:

4

CORRECT

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Explanation

For this question we need to get the function into slope intercept form first which is

where the m equals our slope.

In our case we need to do algebraic opperations to get it into the desired form

Therefore our slope is 4