GED Math - Slope | Practice Hub

Find the slope of .

Explanation

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.

$y=x+\frac{1}{2}$

Therefore, the slope is 1.

What is the slope of the line defined as ?

$\frac{-1}{4}$

$\frac{1}{4}$

Cannot be computed from the data provided

Explanation

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:

$\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}$

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:

$y=\frac{-11}{-44}x+\frac{10}{-44}$

Now, take the coefficient from . It is $\frac{-11}{-44}$ .

You can reduce this to $\frac{1}{4}$ . This is your slope.

Find the slope of the equation:

$\frac{2}{3}$

$\frac{9}{7}$

$\frac{8}{9}$

$\frac{1}{3}$

$-\frac{8}{9}$

Explanation

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.

Divide both sides by 9.

$\frac{9y }{9}=\frac{ 6x}{9}$

$y=\frac{2}{3}x$

The slope is $\frac{2}{3}$ .

A line includes the points and . Give the slope of this line.

$-\frac{1}{10}$

$\frac{1}{10}$

Explanation

Given two of the points it passes through, $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ , a line has as its slope

$m = \frac{y_{2}-y_{1}}{x_{2}- x_{1}}$

Set $x_{1}= 200,x_{2} = 100, y_{1}= -6, y_{2} = 4$ :

$m = \frac{4-(-6)}{100-200} = \frac{10}{-100} = - \frac{10}{100}$

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

$m =- \frac{10 \div 10}{100 \div 10} =- \frac{1}{10}$ ,

the correct response.

What is the slope of the graph?

Linear1 page 001

$\frac{3}{2}$

$\frac{2}{3}$

Explanation

Slope is $\frac{rise}{run}$ .

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 $\frac{3}{2}$