slope-intercept form
y = mx + b
The slope-intercept form is the equation of a line written in the form of y = mx + b, where m represents the slope of the line, and b represents the y-intercept of the line. The slope m is the change in y divided by the change in x, which can also be thought of as the rise over the run of the line.
The y-intercept b is the point at which the line crosses the y-axis. To find the slope-intercept form of a line, you need to know at least two points on the line, or the slope and one point. Once you know these values, you can use them to solve for the equation of the line using the slope-intercept form.
For example, let’s say you have a line with a slope of 2 and a y-intercept of -3. Using the slope-intercept form, you can write the equation of the line as y = 2x – 3. This means that for any value of x, you can find the corresponding value of y on the line by multiplying x by 2, and then subtracting 3.
Additionally, the slope-intercept form can be useful for graphing lines, as you can easily determine the slope and y-intercept from the given equation.
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