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Example Questions
Example Question #11 : Coordinate Geometry
Which of the following equations has as its graph a line with slope ?
For each equation, solve for and express in the slope-intercept form
. The coefficient of
will be the slope.
is graphed by a line with slope
and is the correct choice.
Example Question #1 : Slope
Find the slope of .
The equation given should be written in slope-intercept form, or format.
The in the slope-intercept equation represents the slope.
Add on both sides of the equation.
Divide by two on both sides of the equation to isolate y.
Therefore, the slope is 1.
Example Question #1 : Slope
Determine the slope, given the points and
.
Write the formula for the slope.
We can select any point to be and vice versa.
The answer is:
Example Question #4 : Slope
Find the slope of the equation:
We will need to group the x variables on one side of the equation and the y-variable on the other.
Add on both sides.
Add on both sides.
Divide both sides by 9.
The slope is .
Example Question #5 : Slope
What is the slope of the following line?
To find the slope, rewrite the equation in slope intercept form.
Add on both sides.
This is the same as:
This means that the slope is .
The answer is:
Example Question #6 : Slope
What is the slope of the following equation?
Simplify the equation so that it is in slope-intercept format.
The simplified equation is:
The slope is:
Example Question #1 : Slope
What is the slope between the points and
?
Recall that slope is calculated as:
This could be represented, using your two points, as:
Based on your data, this would be:
Example Question #8 : Slope
What is the slope of the line defined as ?
There are two ways that you can do a problem like this. First you could calculate the slope from two points. You would do this by first choosing two values and then using the slope formula, namely:
This could take some time, however. You could also solve it by using the slope intercept form of the equation, which is:
If you get your equation into this form, you just need to look at the coefficient . This will give you all that you need for knowing the slope.
Your equation is:
What you need to do is isolate :
Notice that this is the same as:
The next operation confuses some folks. However, it is very simple. Just divide everything by . This gives you:
You do not need to do anything else. The slope is .
Example Question #1 : Slope
Find the slope of the equation:
To determine the slope, we will need the equation in slope-intercept form.
Subtract from both sides.
Divide by negative three on both sides.
The slope is:
Example Question #1 : Slope
What is the slope of the line defined as ?
Cannot be computed from the data provided
There are two ways that you can do a problem like this. First you could calculate the slope from two points. You would do this by first choosing two values and then using the slope formula, namely:
This could take some time, however. You could also solve it by using the slope intercept form of the equation, which is:
If you get your equation into this form, you just need to look at the coefficient . This will give you all that you need for knowing the slope.
Your equation is:
What you need to do is isolate :
Notice that this is the same as:
The next operation confuses some folks. However, it is very simple. Just divide everything by . This gives you:
Now, take the coefficient from . It is
.
You can reduce this to. This is your slope.
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