using 2 points to find slope\nfind the slope of the line through the 2 points given below. enter your answer…

using 2 points to find slope\nfind the slope of the line through the 2 points given below. enter your answer as an integer, a simplified fraction, or type \undefined\ if there is no slope.\n(3,11) and (12,8)\nslope =

using 2 points to find slope\nfind the slope of the line through the 2 points given below. enter your answer as an integer, a simplified fraction, or type \undefined\ if there is no slope.\n(3,11) and (12,8)\nslope =

Answer

Explanation:

Step1: Identify the formula for slope

The formula for the slope (m) between two points ((x_1,y_1)) and ((x_2,y_2)) is (m=\frac{y_2 - y_1}{x_2 - x_1}).

Step2: Assign values to (x_1,y_1,x_2,y_2)

Let ((x_1,y_1)=(3,11)) and ((x_2,y_2)=(12,8)). Then (y_2 - y_1=8 - 11=-3) and (x_2 - x_1=12 - 3 = 9).

Step3: Calculate the slope

Substitute into the formula: (m=\frac{-3}{9}). Simplify the fraction by dividing numerator and denominator by their greatest - common divisor (which is 3). So (m =-\frac{1}{3}).

Answer:

(-\frac{1}{3})