Slope - SAT Math

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

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 .

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 .

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:

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:

To find the slope for the line that has these points we will use the slope formula with two of the points.

In our case and

Now we can use the slope formula:

For this question we need to get the function into slope intercept form first which is

where the m equals our slope.

In our case we need to do algebraic opperations to get it into the desired form

Therefore our slope is 4

For this problem we will need to use the slope equation:

In our case and

Therefore, our slope equation would read:

To find the slope of this function we first need to get it into slope-intercept form

where

To do this we need to divide the function by 3:

From here we can see our m, which is our slope equals 2

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First subtract 2x from both sides:

That gives us the following:

Divide all three terms by three to get "y" by itself:

This means our "m" is -2/3

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First add x to both sides:

That gives us the following:

Divide all three terms by four to get "y" by itself:

This means our "m" is 1/4

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

Our equation is already in the "y=mx+b" format, so our "m" is 6.

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

To put our equation in the "y=mx+b" format, flip the two terms on the right side of the equation:

So our "m" in this case is -2.

Subtract on both sides.

Simplify both sides.

Divide by negative 6 on both sides.

The slope is:

To determine the slope, we need the equation in slope intercept form.

Multiply by four on both sides to eliminate the fraction.

Add on both sides.

Combine like-terms.

Divide by nine on both sides.

The value of , or the slope, is .

Write the slope equation.

Substitute the points and solve for the slope.

The answer is:

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

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 .