Standard Form Equation of a line
General Formula for x and y-intercepts. For the equation of a line in the standard form, A x + B y = C where A ? 0 and B ? 0, you can use the formulas below to find the x and y-intercepts. X Intercept: C A = 6 3 = 2. Y Intercept: C B = 6 2 = 3. Solving a standard form equation is a bit like cracking a walnut. The answers can be found once you crack into the shell by using the right formulas and rules. In this case, you need the slope and.
There are many different ways that you can express how to install epson l220 printer equation of a line.
There is the slope intercept formpoint slope form and also this page's topic. Each one expresses the equation of a line, and each one has its own pros and cons. For instance, point slope form makes it easy to find the line's equation when you only know the slope and a single point on the line. Standard form what are the arguments for and against abortion has some distinct uses, but more on that later.
How to find the x-intercept :. How to find the y-intercept :. Identify which equations below on the right are in standard form. Equation 3 is in Slope intercept form. Equation 3 is in point slope form. First, find the intercepts by setting y and then x equal to zero.
This is pretty straightforward since the line is already in standard form. Plot the x and y-interceptswhich in this case is 9, 0 and 0, 6 and draw the line on the graph paper! Plot the x and y-interceptswhich in this case is 5, 0 and 0, 3 and draw the line on the graph paper! Plot the x and y-interceptswhich in this case is 6, 0 and 0,-4 and then graph the equation! Standard Form Applet. Worksheet on standard form equation pdf with answer key on this page's topic. Overview of different forms of a line's equation.
Definition of Standard form Equation. General Formula for x and y-intercepts. Sample Practice Problems. Plot the x and y-intercepts and draw the line on the graph paper! Practice Problems. Show Answer. Step 2 Solve for x:. Step 2 Answer. Step 4 Solve for y:. Step 4 Answer.
Graph Plot the x and y-interceptswhich in this case is 9, 0 and 0, 6 and draw the line on the graph paper! Graph Plot the x and y-interceptswhich in this case is 5, 0 and 0, 3 and draw the line on the graph paper! Graph Plot the x and y-interceptswhich in this case is 6, 0 and 0,-4 and then graph the equation! Standard Form Demo. Popular pages mathwarehouse. Surface area of a Cylinder. Unit Circle Game. Pascal's How to solve for standard form demonstration.
Create, save share charts. Interactive simulation the most controversial math riddle ever! Calculus Gifs. How to make an ellipse. Volume of a cone. Best Math Jokes. Our Most Popular Animated Gifs. Math Riddles. Examples of Standard Form. Non -Examples.
Oct 21, · Method One: Standard Form of Numbers 1. Look at the written number. When you need to change the written form of a number to its standard form, you need to 2. Rewrite each part in numerical form. Take another look at 54%(13).
To create this article, volunteer authors worked to edit and improve it over time. This article has been viewed 15, times. Learn more The phrase can apply to both individual numbers and equations. To do standard form of numbers, take the written words and change them to the numerical equivalents.
For example, if you need to change "seven thousand four hundred thirty eight" to standard form, write out each place value in numerical form, separated by plus signs. Then, just add the numbers together to get the answer, which is 7, For tips on doing standard form of decimals, equations, and more, read on! Did this summary help you? Yes No. Log in Social login does not work in incognito and private browsers.
Related Articles. Article Summary. Author Info Last Updated: October 2, Method 1 of Look at the written number. When you need to change the written form of a number to its standard form, you need to take the written words and change them into their numerical equivalents.
Example: Rewrite "seven thousand four hundred thirty eight" in standard form. In this example, "seven thousand four hundred thirty eight" is provided in written form a. Change it so that it will be in numerical form. Rewrite each part in numerical form. Take another look at the number in your problem.
Separate out each different place value and write the place values separately in numerical form, separated by plus signs. Note that the form you will produce in this step is actually known as a value's "expanded form. Example: In this problem, the separate place values are: "seven thousand," "four hundred," "thirty," and "eight.
Add the parts together. To find the standard form of your number, you simply need to add together all of the different place value pieces. Write your final answer. You should now have your final answer and the standard form of your number. Example: The standard form of "seven thousand four hundred thirty eight" is Method 2 of Understand standard form in this context. In this context, standard form is used as a way to change very large or very small numbers into an abbreviated form.
In the United States, this numerical format is usually referred to as " scientific notation. Look at the original number. Usually, it will either be a very large number or a very small number, but any number with more than one digit to the left of the decimal point can be changed into standard form. Example A: Change the following into standard form: Example B: Change the following into standard form: 0.
Move the decimal point behind the first number. Locate the decimal point. Shift it from its current position to a point just to the right of the first integer. Do not forget where the decimal point originally was while doing this. Example B: 0. Count the number of places. Count the number of places you moved the decimal point.
This number will become the index. When you shift the decimal place to the left, the index will be a positive number. When you shift the decimal place to the right, the index will be a negative number. Example A: The decimal point was moved 11 places to the left, so the index is Example B: The decimal point was moved nine places to the right, so the index is To rewrite the number in standard form, you must write the new numerical value multiplied by 10 raised to the value of your index.
Example A: The standard form of is: 4. Method 3 of Look at the original equation. If you have an equation with one variable, you will need to rewrite that equation so that the value "0" is the only value remaining on the right side of the equal sign.
Move all terms to one side of the equation. To move terms, you will need to either add or subtract them from both sides of the equation. The correct mathematical function will depend on what you need to do to leave nothing but a "0" on the right side of the equation. If a number on the right side of the equation is negative, add it to both sides of the equation. If a number on the right side of the equation is positive, subtract it from both sides of the equation.
Solve both sides of the equation. Once the only value on the right side is "0," you have the standard form of the equation. Method 4 of If you have a polynomial, or an equation with multiple variable terms in it, the standard form of that equation is to arrange the variable terms so that degrees of each term flow from highest to lowest. Shift all the terms to one side, if necessary.
The equation may or may not already follow the standard form of a variable equation. If it does not, you will need to shift all terms to the left side so that only "0" remains on the right side of the equal sign. Do this by following the same steps outlined in the "Standard Form of a Variable Equation" section. Add or subtract values to both sides of the equation nothing but "0" remains on the right side. Rearrange the variable terms. To put this equation in standard form, you will need to rearrange the terms so that the highest variable is first and the remaining variables descend in order.
If there is a non-variable term in your equation, it must be the last one. You must also make sure that each variable keeps its charge positive or negative when you move it. Once the variables are arranged in descending order, you have the standard form of the equation.
Method 5 of Note the standard form of linear equations. This form can also be referred to as the "general form" of a linear equation. The equation should have three terms. One term should include an "x" variable, one should include a "y" variable, and one should have no variable this is called a "constant" term. Remove any fractions. Since all of the terms must be integers, you cannot have any fractions in the equation. If there is a fraction somewhere in your equation, multiply both sides of the equation by the denominator of that fraction to get rid of it.
Isolate the constant. You must isolate the constant, C , to the right side of the equal sign. If there are any other terms on the same side of the equal sign as the constant, add or subtract those terms from both sides of the equation to shift them to the left side. Rearrange the variables. Make sure that each term keeps its charge positive or negative as you move it.
Make the lead coefficient positive. Recall that the A term cannot be negative. If it currently is, you must multiply both sides of the equation by "-1" to remove the negative. You should now have the standard form of your linear equation.