Free math problem solver answers your algebra. The linear equation with a slope of 4 and a y-intercept of 7 is y-4x=7. The slope-intercept form is y mx+ b y m x + b, where m m is the slope and b b is the y-intercept. We have now written the standard from of a linear equation. To change this into standard form, all we need to do is subtract the x term from both sides, in this case 4x. We know the slope, m, is 4 and the y-intercept, b, is 7. This is the easiest form to write when given the slope and the y-intercept. To begin, we will first write the equation in slope-intercept form. You can use the calculator below to find the equation of a line from any two points. Let’s write an equation of the line with a slope of 4 and a y-intercept of 7 in standard form. The slope intercept form calculator, formula, example calculation (work with steps), real world problems and practice problems would be very useful for grade school students of K-12 education to learn what are different equations of a line in geometry, how to find the general equation of a line. Return to the Table of Contents How to write a linear equation in standard form (example) Using standard form allowed us to use the elimination method to solve the system.Īs we’ll see below, standard form is also useful for easily determining the intercepts of a linear function. Then, we can solve using the elimination method by multiplying the second equation by 4.īy adding these equations together we obtain: 9y=49. …we can rewrite the equations in standard form. As you can see, we need to know three parameters to write a quadratic vertex form.One of them is a, the same as in the standard form. If we were given the system of equations: Intuitively, the vertex form of a parabola is the one that includes the vertex’s details inside.We can write the vertex form equation as: y a·(x-h)² + k. The slope intercept form equation is expressed as y mx + c, where m represents the slope of the line and c represents the y-intercept of a line. For instance, when using the elimination method to solve a system of equations, we can easily align the variables using standard form. The standard form of a line can be particularly helpful when solving a system of equations.
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