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Master Slope Intercept Form: y = mx + b | Linear Equations

NY.A-APR.C.5+

auto-gen

Pascal's triangle

Pascal's Triangle

Pascal"s Triangle

Pascal"s triangle

Binomial theorem

Determining the equation of a polynomial function

NY.A-APR.D.7+

Descartes&apos; rule of signs

Descartes' Rule of Signs

Descartes' rule of signs

Descartes" rule of signs

Multiplying rational expressions

Multiplying Rational Expressions

Multiplying Rational Expressions in Factored Form

Dividing rational expressions

Dividing Rational Expressions

Dividing Rational Expressions in Factored Form

Negative exponent rule

NY.F-BF.B.5+

What is a logarithm?

Logarithms and Exponential Growth

Understanding Logarithms through Exponential Growth

Understanding Logarithms

Converting from logarithmic form to exponential form

Evaluating logarithms without a calculator

Common logarithms

Natural log: ln

Evaluating logarithms using change-of-base formula

Converting from exponential form to logarithmic form

Solving exponential equations with logarithms

Product rule of logarithms

NY.F-TF.A.3+

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

Find the exact value of trigonometric ratios

NY.F-TF.C.8+

Pythagorean identities

NY.F-TF.C.9+

Sum and difference identities

Sum and Difference Identities

Double-angle identities

Cofunction identities

NY.G-SRT.D.10+

Law of sines

Ambiguous case: SSA triangles

Law of cosines

NY.G-SRT.D.11+

Applications of the sine law and cosine law

NY.G-SRT.D.9+

Area of triangles: 1/2 a*b sin(C)

NY.N-CN.A.3+

Complex conjugates

Complex Conjugates

Distance and midpoint of complex numbers

Angle and absolute value of complex numbers

NY.N-CN.B.4+

Polar form of complex numbers

NY.N-CN.B.5+

Operations on complex numbers in polar form

NY.N-CN.B.6+

Midpoint formula: \(M = ( \frac{x_1+x_2}2  ,\frac{y_1+y_2}2)\)

Midpoint formula

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2  ,\frac{y_1+y_2}2)</katex>

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

NY.N-CN.C.8+

Solving polynomials with the unknown "b" from ax^2 + bx + c

Factoring polynomials: ax^2 + bx + c

Factoring Polynomials: ax^2 + bx + c

Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2

Factoring perfect square trinomials

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Find the difference of squares

Solving polynomials with unknown coefficients

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

NY.N-CN.C.9+

Word problems of polynomials

Fundamental theorem of algebra

NY.N-VM.A.1+

Use sine ratio to calculate angles and sides (Sin = o / h)

Introduction to vectors

Magnitude of a vector

Direction angle of a vector

NY.N-VM.A.2+

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Scalar multiplication of vectors

Equivalent vectors

NY.N-VM.A.3+

Word problems on vectors

Word problems relating guy wire in trigonometry

NY.N-VM.B.4+

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Adding and subtracting vectors in component form

Operations on vectors in magnitude and direction form

NY.N-VM.B.5+

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

Unit vector

NY.N-VM.C.10+

Zero matrix

Identity matrix

The determinant of a 2 x 2 matrix

The determinant of a 3 x 3 matrix (General & Shortcut Method)

The Inverse of a 2 x 2 matrix

NY.N-VM.C.11+

Transforming vectors with matrices

Transforming shapes with matrices

NY.N-VM.C.12+

Finding the transformation matrix

NY.N-VM.C.6+

Notation of matrices

Adding and subtracting matrices

NY.N-VM.C.7+

Scalar multiplication of matrices

NY.N-VM.C.8+

Matrix multiplication

The three types of matrix row operations

NY.N-VM.C.9+

Properties of matrix multiplication

Plus (+) Standards

math

Intro

Ex. 1:

Ex. 2:

Ex. 5:

Ex. 3:

Ex. 4:

Ex. 6:

<p>- Hi. We'll work on this question right here. So this one right here, we need to figure out the slope, the y-intercept, the domain and range. So let's do the slope and the y-intercept first. So what we have here is a y equal to three over two x plus one. Now if you remember, this is the same thing as the y equals to the slope and the y-intercept form. So this is an m x plus the b, right? So it's gonna say right there. The three over two is your slope automatically. So you know the slope is just going to be three over two. The y-intercept is just gonna be the b, so remember the b in the equation, this one right here is actually your y-intercept, So in this case, it's gonna happen at the y equals to one, all right? Now if you want to figure out the domain and range, you know, this is a linear function. Actually for all linear functions, they either go like this or this way or they go flat or they kinda go up and down sometimes. So as long as you're not doing these two, you're doing one of these guys here, the domain and range is actually all real in every single case, So if you actually draw this on the graph to prove it to yourself, you will actually have a y-intercept at the point one, so a y equals to one, sorry. That's a one right there. And the slope would be up three over two, so pretend I go up three and over two, then that's my next point. Then you'll be drawing like a straight line across with the arrows on both ends. Now, seeing the graph like this, it's really straight forward that the domain and the range, it's just going to be all real for both cases. So this is just the way that I write down all real numbers. So my x is all real numbers and my the range is just the y is for all real numbers, So that's your final answer right here. Thanks for watching.</p>

The slope intercept form is used to find the <a href="[[glossary.html|{"keyword":"y-intercept"}]]">y-intercept</a> and the slope of a straight line. If you look closely, it is a linear function too; meaning the function can tell you its domain and range.