![]() The linear equation with a slope of 4 and a y-intercept of 7 is y-4x=7. 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. We have now written the standard from of a linear equation. You can use the calculator below to find the equation of a line from any two points. 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. Multiply both sides of the equation by 4 to get rid of the denominators 2 and 4. This is the easiest form to write when given the slope and the y-intercept. Write the following slope-intercept form equation of a line in standard form : y (7x/2) + (1/4) Solution : y (7x/2) + (1/4) On the right side of the equation, we have the denominators 2 and 4. ![]() To begin, we will first write the equation in slope-intercept form. Let’s write an equation of the line with a slope of 4 and a y-intercept of 7 in standard form. 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. Slope intercept form y 2x + 1 becomes 2x - y -1 written in standard form. If we were given the system of equations: To calculate the slope intercept form equation from two coordinates. Slope Intercept Formula: The formula that is used to find the slope intercept. The slope signifies the degree of incline or steepness of a line. This form of the linear equations is known as the slope intercept form. Consider the equations y 2, x 1 and 3 x + 4 y 12. The slope intercept form of the linear equation is y mx + c that is constructed with y-intercept and slope of the line m. ![]() y 3x 2 Since the inequality is a strict inequality, use a dashed. 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 linear equation is A x + B y C, in which A, B and C are constants. Convert from standard form to slopeintercept form. Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. b is the power of 10 required so that the standard form is mathematically equivalent to the original number. ![]() The standard form of a line can be particularly helpful when solving a system of equations. Standard form of a number is a x 10 b where a is a number, 1 a < 10. ![]()
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