How to turn point slope form into general form

3x+7y+5=0

Step 1:

Isolate y

To isolate 7 we need to move 7y over to the other side of the equals sign.

3x+5=-7y

It will become negative because you have to subtract it from one side and bring it to the other.

Step 2:

Make the y’s base 1

To do that you need to divide everything by y’s current base which is -7

3x/-7+5/-7=y

This should be your final product if no more simplifying can be done.

Finding a slope using two coordinates.

(3,-1), (5,-2)

Step 1:

Create a table

Input coordinates into the table.

Find what each of the sets of coordinates go up or down by.

Then put the y value over the x value to get your slope

-1/2

What is function notation?

Function notation is a way of finding different values of a function, as an example:

f(x) = 5x-1

“f(x)” is actually just y but for function notation it has a special form.

This is a function on a graph.

In this function the pattern is:

f(x) = 5x-1

If you were to input a value into where the x next to the f is, it would cause you to find the y coordinate associated with the x coordinate you put into it.

How to determine if a graph is a function or not.

This is a function because the lines don’t overlap with each other

This is not a function because the lines overlap

How to find the domain and range of a graph.

Step 1:

Know the meaning of domain and range.

Domain: The domain is the distance from left to right of the points which is represented by x

Range: The range is the distance from the bottom to the top of the points which is represented by y

Step 2:

Find each coordinate.

First the domain, the point on the left is -4 and the point on the right is 3

To show the domain you’d put the -4 first then a less than or equal(because the point is open) symbol then an x because the domain is on the x axis, then a less than(because the point is closed).

It would look like this:

-4≤ x<3

For the range it would be very similar.

-4 for the point on the bottom and positive 3 on the top

it is represented the same way as domain except you’d use a y

-4≤y<3

This week we studied for the midterm so I focused on factoring binomials.

4x^2+8x

Step 1:

Find what is in common.

For these, both sides contain 4 and x

Step 2:

Divide what’s common with both sides

4x^2/4x = x

8x/4x = 2

Step 3:

Show what you used to divide what’s left by putting it in front of brackets and that should be your final answer.

4x(x + 2)

How to multiply a binomial

(x+2)(x+5)

Step 1:

Multiply each number/variable inside the first bracket with the second bracket.

(x)(x)=x^2

(x)(5)=5x

(2)(x)=2x

(2)(5)=10

Step 2:

Add like terms.

x^2+5x+2x+10

x^2+7x+10

Step 3:

Make sure its simplified as much as possible.

If it is then you’re done.

x^2+7x+10

How to multiply in a polynomial equation.

2x(5 + 4x)

Step 1:

10x + 8x^2

If there is something outside the brackets, make sure to multiply it with everything inside the brackets. After multiplying the brackets can be removed.

Step 2:

Check if there are any like terms.

If there aren’t any then this should be your final answer.

10x + 8x^2

How to use SOH CAH TOA to find a angle of a triangle

Step 1.

Step 2.

First thing to know about SOH CAH and TOA is that they each correspond to sine, cosine and tangent. You can tell because of the starting letter.

To find which sign to use, use the corresponding types of sides of the triangle to SOH, CAH, or TOA. In this example the Opposite and Hypotenuse sides are used, the O and H from those corresponds to SOH because SOH ends with O and H.

In this example the inverse sign will also be used so the equation will look something like this to start

X = Sin^-1 12/11

Step 3.

Enter the equation into your calculator and get the answer.

The final answer should be X = 66.44