Slope - GED Math

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:

Slope is .

We can pick any two points on the graph and count the rise and run. This graph goes through (0,0), so lets pick that point. It also looks like (2,3) is on the graph.

So, from (0,0) to (2,3), you go up 3, and over 2.

This makes our slope

Simplify the equation so that it is in slope-intercept format.

The simplified equation is:

The slope is:

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.

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.

Write the formula for the slope.

We can select any point to be and vice versa.

The answer is:

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 .

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

Remember, the question asks for the slope that is perpendicular to this slope! Don't forget this point! The perpendicular slope is opposite and reciprocal.

Therefore, it is:

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 .

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.

To find the slope of a line, we will look at the line in slope-intercept form:

where m is the slope and b is the y-intercept.

Now, given the line

we can see that .

Therefore, the slope of the line is -8.

The slope of a line is defined to be the ratio of rise (vertical change, or change in the value of ) to run (horizontal change, or change in the value of ).

The -intercept of the line can be seen to be at the point five units above the origin, which is . The -intercept is at the point three units to the right of the origin, which is . From these intercepts, we can find slope by setting in the formula

The slope is

Rearrange the terms so that it's in slope-intercept form.

The slope is the . Add three on both sides.

Subtract from both sides.

The answer is:

The equation will need to be rearranged to slope-intercept form.

Add on both sides.

Subtract two on both sides, and add on both sides to isolate the variable.

Combine like-terms.

The slope is the coefficient .

The answer is:

The following equation is NOT in the proper point-slope format:

Simplify the equation by expanding the right side.

Add 3 on both sides.

The equation is now in slope-intercept format.

The slope is .

Write the formula for slope.

The slope is:

Recall how to find the slope of a line:

Plug in the given points to solve for .

The missing x-coordinate is .

The equation is not in slope-intercept form:

Rearrange the terms so that it is in that form.

Subtract on both sides.

Divide by negative 8 on both sides.

Simplify both fractions.

The slope is: