slope-intercept form
The slope-intercept form is a way to express the equation of a linear function
The slope-intercept form is a way to express the equation of a linear function. It is written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.
In this form, the slope (m) tells us how steep the line is and the y-intercept (b) tells us the point where the line intersects with the y-axis.
To use the slope-intercept form, you need to know the values of m and b. The slope can be determined by finding the change in y divided by the change in x between any two points on the line. The y-intercept can be found by setting x = 0 and solving for y.
Once you have the values of m and b, you can easily graph the line by plotting the y-intercept and using the slope to determine additional points.
For example, if the equation of a line is y = 2x + 3, the slope is 2 and the y-intercept is 3. This means that the line is slanted upward with a steepness of 2 and it intersects the y-axis at the point (0, 3).
The slope-intercept form is very useful for graphing lines, as it provides a straightforward way to determine the equation’s key properties and easily identify the y-intercept.
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