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Hope that helps! You're welcome! Let me take a look... You'll be able to enter math problems once our session is over. Step-by-Step Examples Pre-Algebra Linear Equations and Inequalities Write in Slope-Intercept Form Step 1 The slope-intercept form is , where is the slope and is the y-intercept. Step 2 Rewrite in slope-intercept form. Tap for more steps... Subtract from both sides of the equation. Divide each term in by and simplify. Tap for more steps... Divide each term in by . Simplify the left side. Tap for more steps... Cancel the common factor of . Tap for more steps... Cancel the common factor. Divide by . Simplify the right side. Tap for more steps... Simplify each term. Tap for more steps... Move the negative in front of the fraction. Move the negative in front of the fraction. Write in form. Tap for more steps... Reorder and . Reorder terms. Remove parentheses. Enter YOUR Problem
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slope-intercept-form-calculator en The standard form equation is a linear equation that contains two variables, usually (but not limited) to x-terms and y-terms, that are on the same sides of the equation: Ax + By = C Coefficients A, B, and C must be whole number integers that have no decimals or fractions. In the standard form equation, coefficients B and C can be positive or negative numbers, but coefficient A must be a positive number. Point-Slope, Slope-Intercept, and Standard Form EquationsA linear equation is the equation of a line on a graph. Linear equations come in different forms, like point-slope form and slope-intercept form. Let’s explain each of these forms. Standard form: Writing an equation in standard form makes it easier to find the x and y-intercepts, which is where the graph crosses the x- and y-axis. All you have to do is plug in a 0 for the y to find the x-intercept or a 0 for the x to find the y-intercept. Point-slope form: In point-slope form, x1 and y1 are coordinates of a point on a graphed line, and m is the line's slope. Slope-intercept form: The slope-intercept form has the slope, m, and the y-intercept, b, on the right-hand side of the equation. Since this is a useful form, you’ll often be asked to convert an equation from standard form to slope-intercept form. So let’s show you how to do this. Converting Standard Form to Slope-Intercept FormLet’s convert the following standard form equation to slope-intercept form: We want to isolate the y, so let’s start by subtracting 6x from both sides: As you can see, you’re left with -2y on the left. Now, we must divide both sides by -2 to isolate the y: Once you rearrange this equation to be in the y = mx + b format, this equation is in slope-intercept form: How to Convert Standard Form EquationsAs we've stated, in standard form, equations coefficients A, B, and C must be whole numbers. Let's convert the below equation, which contains fractions and negative numbers, into a proper standard form equation: The first step is removing the fractions from the equations. To do this, we must determine the common factors of the two denominators, -4 and 8. The least common denominator of these two numbers is 8, so let's multiple each side by this: Now that all the coefficients in this equation are whole numbers, we need to convert -6 into a positive number. We can do this by multiplying both sides of the equation by -1: Learning How to Write Standard Form EquationsStandard form is one of the three different ways to write linear equations. Finding common factors to convert equations with fractions into standard form equations makes it easier to move onto more complex math concepts, like graphing linear equations. More Math Homework Help
How do you convert linear equations?The standard form of a linear equation is Ax+By=C. To change an equation written in slope-intercept form (y=mx+b) to standard form, you must get the x and y on the same side of the equal sign and the constant on the other side. Use inverse operations to move terms.
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Converting linear equations to slope intercept form
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