What are three ways to find the slope of a line?
1 Answer
Apr 10, 2015
Three ways to find the slope of a line:

You may have two points
#(x_1,y_1)# and#(x_2,y_2)# (often one or both of these points may be intercepts of the#x# and/or#y# axes). The slope is given by the equation
#m=(y_2y_1)/(x_2x_1)# 
You may have a linear equation that is either in the form or can be manipulated into the form
#y = mx + b# .
In this case the slope is#m# (the coefficient of#x# ). 
If the line is a tangent to another function, you may have (or be able to determine) the slope of the tangent as the derivative of the function. Normally in this case the derivative is a function expressed in terms of
#x# and you need to substitute the value of#x# into this function for the required location.