What Is The Slope Intercept Form Of A Line

Many students find this useful because of its simplicity.

Slope intercept form of a line y mx b y mx b the slope intercept is the most popular form of a straight line. X the x coordinate. The formula is as follows. B the.

A coordinate plane showing greeting card revenue number of cards sold on the x axis and revenue in dollars on the y axis. This form of the equation of the line is therefore termed the slope intercept form. You can also use x and y instead of x and y here. This form is quite useful in creating an equation of a line if you re given the slope and a point on the line.

You can also think of the y intercept as the value of y when x equals zero. Y mx b. The slope intercept form of an equation is y mx b which defines a line. As you might have guessed by now this is not the only form to represent a straight line.

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When the line is graphed m is the slope of the line and b is where the line crosses the y axis or the y intercept. M y y x x 3 1 2 1 2 1 2. To find the equation of a line in slope intercept form we ll need at least two pieces of information about the line which can be a point on the line a second point on the line the slope of the line or the y intercept of the line the y coordinate of the point at which the graph of the line crosses the y axis. The y intercept is the place where the line crosses the y axis.

Notice that if the line passes through the origin its equation would reduce to y mx. Y the y coordinate. Line xw has a lesser slope than line yz. Line zw has the same y intercept as line yz.

This form uses the slope and the intercept of the line. The graph represents revenue in dollars as a function of greeting cards sold. Watch this tutorial and learn about the point slope form of a line. In the slope intercept formula these variables are used.

Y 2x 1. Therefore the equation of this line in slope intercept form is y 0x 1 rightarrow y 1. Put all these values together to construct the slope intercept form of a linear equation. B y m x 1 2 1 1.