How To Convert A Linear Equation In Standard Form To Slope Intercept Form

So it s y is equal to 2 3x plus 4 7. 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.

How Do You Put An Equation In Slope Intercept Form Into Standard

The slope intercept form of the equation of a line is.

How to convert a linear equation in standard form to slope intercept form. But we wanna write this in standard form. To do that subtract 4 x from each side and you get 5 y 4 x 20. When you rearrange this equation to get y by itself on the left side it takes the form y mx b.

You can link to all my videos at my website. Multiply all terms by the multiplicative inverse of the coefficient of y. Converting linear equations in standard form to slope intercept form and vice versa please select the method of conversion standard to slope interceptslope intercept to standardform.

The standard form of such an equation is ax by c 0 or ax by c. It s written in the form y is equal to mx plus b where m in this case is 2 3 and b is 4 7. For instance if you have a problem similar to and you want to convert it to slope intercept form then choose standard to slope intercept.

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. The final equation is. It s very easy to figure out what the slope and what the y intercept is from this equation.

Changing to slope intercept form to change the equation 4 x 5 y 20 to the slope intercept form you first isolate the y term on the left side. There are various forms which we can write the equation of a line. Y 3x 2 in order to go from one form to another all you have to do is change the order of the given numbers.

Then divide each term by 5. Isolate the y term. That s why it s called slope intercept form.

So the way that it s written right now this is slope intercept form. We re asked to convert these linear equations into slope intercept form and then graph them on a single coordinate plane. Any equation that relates the first power of x to the first power of y produces a straight line on an x y graph.

First you want to move the ax to the opposite side of the equation by either adding or subtracting it. Convert 3x 5y 15 graphed below to slope intercept form. The point slope form the slope intercept form the standard form etc.

You can use the calculator below to find the equation of a line from any two points. And just as a bit of a review slope intercept form is a form y is equal to mx plus b where m is the slope and b is the intercept. We have our coordinate plane over here.

A slope intercept form equation is when it is set up y mx b. In two simple steps this video will show you how to convert linear equations from the slope intercept form to the standard form.

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