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How to find the equation of a parallel line

Grade 10 Math: Master Essential Skills & Concepts

FP10.1

auto-gen

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Square and square roots

Square Root of a Perfect Square

Cubic and cube roots

Cube root of a perfect cube

FP10.10

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Solving systems of linear equations by elimination

Solving systems of linear equations by substitution

FP10.2

Evaluating and simplifying radicals

Product rule of exponents

Rational vs. Irrational numbers

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

Negative exponent rule

Combining the exponent rules

Convert between radicals and rational exponents

Converting radicals to mixed radicals

Converting radicals to entire radicals

FP10.3

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

FP10.4

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

Use cosine ratio to calculate angles and sides (Cos = a / h)

Combination of SohCahToa questions

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Use tangent ratio to calculate angles and sides (Tan = o / a)

FP10.5

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

Multiplying monomial by monomial

Multiply a Monomial by a Monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

Factoring polynomials: x^2 + bx + c

Applications of polynomials: x^2 + bx + c

FP10.6

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Function notation

FP10.7

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>

Slope intercept form:  y = mx + b

Slope intercept form: y = mx + b

General form:  Ax  + By  + C = 0

General form: Ax + By + C = 0

Point-slope form: y - y_1 = m(x - x_1)

Rate of change

FP10.8

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Introduction to linear equations

Introduction to nonlinear equations

Special case of linear equations: Horizontal lines

Special case of linear equations: Vertical lines

Parallel line equation

Perpendicular line equation

Combination of both parallel and perpendicular line equations

FP10.9

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Applications of linear equations

Get better math marks with our complete Grade 10 math help &ndash; be it <a href="http://www.edu.gov.on.ca/eng/curriculum/secondary/grades.html">Ontario math curriculum</a>, math curricula of <a href="https://curriculum.gov.bc.ca/curriculum/10-12#m">B.C.</a>, <a href="https://education.alberta.ca/mathematics-10-12/programs-of-study/">Alberta</a>, <a href="http://www.edu.gov.mb.ca/k12/cur/math/index.html">Manitoba</a>, <a href="https://www.curriculum.gov.sk.ca/webapps/moe-curriculum-BBLEARN/index.jsp?lang=en&subj=mathematics&level=foundations10">Saskatchewan</a>, <a href="http://www.ed.gov.nl.ca/edu/k12/curriculum/guides/mathematics/">Newfoundland</a>, or other provinces. We&apos;ve got you all covered!

Just like your class or textbook, our complete help for grade 10 math includes topics such as Trigonometry, Quadratic Equations, Radicals, Factoring polynomials, Linear equations, Linear systems, and more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 10 math problems. Then, strengthen your understanding with tons of grade 10 math practice. 

All our lessons are taught by experienced grade 10 math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Foundations of Mathematics and Pre-calculus 10

Number Sense

math

<h2>What is in grade 10 math?</h2>
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Ex. 1

Ex. 2

Hi, [inaudible] this question right here. So we&apos;ve got lines 2y-6x-4 here and this one over here. They are parallel to each other. Now being parallel that means the slope of the first line is equal to the slope of the second line okay? So in order to get the slope out directly you might need to change that into "y=mx+b" 
form. So let's go ahead and do that so I'm just copying down the first equation on top 2y minus the 6x and minus the 4 equals the 0. Now to get to "y=mx+b" you just have to solve for "Y" basically. So if I just kind of put a 2y over here by itself move the 6x and negative four to the other side its just 6x+4 okay. Now to solve for "Y" just divide everything by the two. So six divided two is three. Four divided by two is just a two right here. So you get the first slope right here if this is my equation number one my slope of the first one will also just be a three okay. Now they must be parallel so let's take a look over here. The y-cx=0 right. So If I'm going to solve for "Y" for that one let me just copy down the question here one more time okay. So to solve for "Y" let's put a 6y here and move the cx to the other side becomes positive cx and the "Y" will just be cx over six okay. That is actually the slope believe it or not. Because there is no intersect for this one right here. This 
"C" over six the slope of the second one is actually just "C" 
over six okay. Now we know that they're parallel to each other so if they're parallel to each other the slope must be the same so this guy and this guy must be the same or equal. So that means we have a brand new equation right here. Three will equals to "C" over six. And the "C" will equals to 18. So that's your final answer right there. The 
"C" will equals to be 18 okay. Thanks for watching.

Ex. 4

Ex. 3

In this lesson, we will look at questions related to parallel line equation. We will try to determine parallel line equation with different given information such as, graphs, equations of other lines and points.

Parallel line equations

Point-slope form: \(y - y_1 = m (x - x_1)\)