Slope intercept form explained

Friday, July 21, 2023

Slope-intercept form is a way of writing down the equation of a line. In other words it describes a line.

slope intercept form

It's written as y = mx + b, where
m is the slope of the line and b is the y-intercept.

slope intercept

The slope tells you how steep the line is. As m increases so does the steepness of the line.
The larger the slope, the steeper the line, or in other words, the greater the rate of change.

The smaller the slope = the slower the growth or decay and slower the rate of change.

The y-intercept tells you where the line crosses the y-axis.


For example, if the equation of a line is y = 2x + 3, then the slope is 2 and the y-intercept is 3. You always start graphing using b so this line crosses the y-axis at 3. And  the slope is 2. This means that for every 2 units the line goes up it goes to the right 1 unit.

Slope-intercept form is a very useful way of writing down the equation of a line. It's easy to understand and it's easy to use to graph a line.

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