Slope - GED Math

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 .

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:

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

The simplified equation is:

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 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:

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:

Given two of the points it passes through, and , a line has as its slope

Set :

Reduce this by dividing both numbers by greatest common factor 10:

,

the correct response.