Mastering The Slope-Intercept Form: A Guide To Writing And Graphing Linear Equations

Slope Intercept Form

y=mx+b

The slope-intercept form, also known as y-intercept form, is a way of writing the equation of a straight line. It takes the form y = mx + b, where m is the slope of the line, and b is the y-intercept.

– Slope (m): The slope represents the steepness of the line. It is defined as the change in y divided by the change in x between any two points on the line. A positive slope indicates that the line is increasing from left to right, while a negative slope indicates the opposite.
– Y-intercept (b): The y-intercept is the point where the line intersects with the y-axis. It is the value of y when x is zero. In other words, it is the starting point of the line.

To use the slope-intercept form, you need to know the slope and the y-intercept of the line. Once you have these values, you can plug them into the equation to find the equation of the line. For example, if the slope is 2 and the y-intercept is 4, the equation would be y = 2x + 4.

One of the advantages of this form is that it is easy to graph. To graph a line in slope-intercept form, you can start by plotting the y-intercept on the y-axis. Then, use the slope to find another point on the line. From there, you can draw a straight line through the two points to represent the equation of the line.

Overall, the slope-intercept form is a useful tool for working with linear equations, allowing you to quickly find the equation of a line and graph it with ease.

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