How to Convert Slope Intercept Form to Standard Form
Improve your math knowledge with free questions in "Convert a linear equation in standard form to slope-intercept form" and thousands of other math skills. You can use the calculator below to find the equation of a line from any two points. Just type numbers into the boxes below and the calculator (which has its own page here) will automatically calculate the equation of line in standard and slope intercept forms.
Hi, and welcome to this review of linear equation forms! We will also review the terminology and the process of graphing linear equations in these forms. A linear equation can be expressed in many different ways, but no matter which form you use, it just represents a straight line. This form of the equation is very useful for some purposes in math. For example, a line can be quickly graphed when it is in this form by finding the x — and y -intercepts. There are also methods of solving systems of equations that require each equation in the system to be written in this form.
The slope of a line describes the slant, or steepness, and the y -intercept is the point on the graph where the line crosses the y -axis. Sometimes you will be asked to rearrange an equation from one form to another. If we want to change it to slope-intercept form, we are going to need to rearrange it so that y is by itself our the left side.
This is almost right, but if we look again at slope-intercept form we see that we need the x -term to be in front. This gives us:. The resulting equation is more informative about the line than the original equation in standard form. A negative slope tells us that the line slants downward, from left to right. For these examples, we want to name the slope, describe the slant of the line, and name the y -intercept as an ordered pair.
A positive slope indicates that the line slants upward from left to right. Because the slope is positive, the line slants upward from left to right. As you can imagine, knowing where the line crosses the y -axis and the slope of the line will make the line very easy to graph. Any value of slope can be looked at as a fraction, where the numerator indicates where to how to make dahi kadhi in hindi along the y -axis and the denominator indicates where to move along the x -axis.
This slope is not written as a fraction, but any whole number can be rewritten as a fraction over The numerator, 5, is the rise. Positive value means UP, 5. The denominator is the run. When you have a negative slope, you can consider either the numerator or the denominator to be negative, not both! Let the numerator be the negative value. Rise is -3, DOWN, 3. Now onto some graphing. People sometimes find it helpful to use the notation of slope-intercept form to get started. Got the hang of it?
Let the rise be negative! Rise equals DOWN, 2. Now that we have had some review of the key features of linear equations, we have the tools to explore the point-slope form. This form is of special use if we know one point that is on the line, and the slope. This is a straightforward example. You may have noticed that the y -value how to work in usa from uk the point, 3, is being added.
To identify the point that is on this line, the equation must look like the general form, which subtracts the coordinates of the point. Therefore, the point can be seen more clearly if the equation is written as:. Once you feel comfortable with identifying the slope and what is asme codes and standards point from this form, you can graph the line as we did before.
Rise equals UP, 1. While the structure of the equations looks different, they all represent a line. The use of each depends on what you are given or what you are asked to do. Graph slope-intercept form by first plotting the y-intercept, then using the slope to find a second point and plotting that point, and finally drawing a line through the two points. Then, use the slope m to find a second point on the line. Plot that point. Finally, draw a straight line through the two points.
Then, use the slope to find a second point. The slope is -4, so move right 1 and down 4. The new point is 2, 3. Plot this point. Finally, draw a line through these two points. Home Study Guide Flashcards. Frequently Asked Questions Q What is slope-intercept form? Q How do you graph slope-intercept form?
A Graph slope-intercept form by first plotting the y-intercept, then using the how does a computer process data into information to find a second point and plotting that point, and finally drawing a line through the two points. Q What is b in slope-intercept form? A In slope-intercept form, b stands for the y-intercept of the line.
Q What is point-slope form? Q How do you graph point-slope form? Practice Questions Question 1: Which of the following equations is in slope-intercept form? Question 2: Which of the following equations is in point-slope form? Question 3: Which of the following equations is in standard form?
Oct 27, · When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept. Converting from slope intercept form to standard form takes little more than basic arithmetic. Converting from slope-intercept to standard form. Practice: Convert linear equations to standard form. This is the currently selected item. Standard form review. Next lesson. Summary: Forms of two-variable linear equations. Converting from slope-intercept to standard form. Jul 29, · This Solver (Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)) was created by by jim_thompson(): View Source, Show, Put on YOUR site About jim_thompson If you need more math help, then you can email me.I charge $2 for steps, or $1 for answers only.
Any equation that relates the first power of x to the first power of y produces a straight line on an x - y graph.
Converting from slope intercept form to standard form takes little more than basic arithmetic. You can leave the equation like this, but if you prefer to make x positive, multiply both sides by What is the equation of the line in standard form?
Chris Deziel holds a Bachelor's degree in physics and a Master's degree in Humanities, He has taught science, math and English at the university level, both in his native Canada and in Japan.
He began writing online in , offering information in scientific, cultural and practical topics. His writing covers science, math and home improvement and design, as well as religion and the oriental healing arts. How to Find the X Intercept of a Function. How to Figure Out the Slope of a Line. How to Interpret Linear Equations. What is the Identity Property of Multiplication? How to Find Perpendicular Slope. How to Reset a TI How to Turn Fractions Into Integers. How to Integrate the Cube Root of X.
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