Discovering The Pythagorean Identity: Simplifying Sin^2X + Cos^2X = 1 Using The Unit Circle

Slope Intercept Form

y=mx+b

Slope intercept form is a way to represent a linear function in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. This equation can also be rearranged to solve for x instead of y.

To graph a linear equation in slope intercept form, first plot the y-intercept on the y-axis, then use the slope to find additional points on the line. To find the slope, use the formula:

slope = (change in y)/(change in x)

This formula gives the rate at which y is changing with respect to x, or the steepness of the line. Once you have calculated the slope, use it to find additional points on the line by either rising or falling and running a set amount from the existing point. For example, if the slope is 2/3 and you have the point (4,5), you could rise 2 units and run 3 units to find another point on the line.

It is also possible to use slope intercept form to write a linear equation given a graph. To do this, identify the y-intercept and the slope of the line, then substitute those values into the equation.

Overall, slope intercept form is a useful tool for graphing and analyzing linear functions.

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