How To Find Slope From An Equation In Standard Form

Y b m x a the y intercept of the line is the value of y when x 0. Just to stay consistent we multiply both sides of the equation by 1 to arrive in the standard form weve been referring to. The standard form of such an equation is ax by c 0 or ax by c.
how to find slope from an equation in standard form

In this equation m is the slope and x1 y1 are the coordinates of a point.

How to find slope from an equation in standard form. 3x y 5. The point a b becomes 0 b. 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 now have in standard form.

Distribute m or the slope to x x 1. 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. When you rearrange this equation to get y by itself on the left side it takes the form y mx b. For example find the slope of 2x3y5.

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. First you want to move the ax to the opposite side of the equation by either adding or subtracting it. A slope intercept form equation is when it is set up ymxb. However it can be shown that when the equation of a line is written in standard form the slope is always dfracab.

In this example we have 3 1 which is the same as 31 or 3. One type of linear equation is the point slope form which gives the slope of a line and the coordinates of a point on it. Lets look at where this point slope formula comes from. Y mx b.

Move the x term to the other side by adding its opposite to both sides. Any equation that relates the first power of x to the first power of y produces a straight line on an x y graph. You can use the calculator below to find the equation of a line from any two points. Finding the slope from the standard form of a line you can always find the slope by solving for y and rewriting the equation in slope intercept form y mx b.

Find the slopes of lines whose equations are given in various forms. Substituting this into the slope point form of the equation you get the slope intercept form. When we find slope in standard form we take the a term divide by b then change the sign or we just say ab. When dealing with linear equations we can easily identify the slope of the line represented by the equation by putting the equation in slope intercept form y mx b where m is the slope and b.

The point slope form of a linear equation is written as. This can be simplified to produce the slope point form of the line. Move y 1 to the other side by adding its opposite to both sides of the equation and simplify.