slope-intercept form
an equation of the form y=mx+b, where m is the slope and b is the y-intercept
The slope-intercept form is a linear equation in the form of y=mx+b, where m represents the slope of the line and b represents the y-intercept. The slope represents how steep or shallow the line is, while the y-intercept represents the point where the line crosses the y-axis.
To use the slope-intercept form, one needs to know the slope and y-intercept of the line. The slope can usually be found by calculating the change in y divided by the change in x, or by recognizing it from the equation’s coefficients.
For example, if we have an equation in the form of y = 3x – 2, we can see that the slope is 3 and the y-intercept is -2. This means that the line will have a positive slope, meaning it will be going up from left to right, and it will cross the y-axis at the point (0,-2).
With the slope and y-intercept known, one can use the slope-intercept form to graph the line, or to solve for y or x at any given point on the line.
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