Slope

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: .

To find the slope of any line, we must get the equation into the form

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

To manipulate our equation into this form, we must solve for y. First, we must move the x term to the right side of our equation by subtracting it from both sides.

To isolate y, we now must divide each side by 3.

Now our equation is in the desired form. The coefficient of our x term is our slope, . Therefore

In order to find the slope, we will need to rearrange the equation so that it is in slope-intercept form .

Subtract on both sides.

Divide by three on both sides.

This equation is now in the form of , where is the slope.

The slope is .

First you must get the formula into slope-intercept form which means having by itself,

where is the slope.

You must multiple both sides by to get,

.

The slope is the value being multiplied by the variable, so our slope is .

The slope in a linear equation is defined as .

The x-variable exists in the denominator, which refers to the parent function of:

This function is not linear, and will have changing slope along its domain.

The answer is:

The given equation will need to be rewritten in slope intercept format.

Divide by two on both sides.

Rearrange the right side by order of powers.

The slope can be seen as

The answer is: