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(14,6) and (-7,12)\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(14,6) and (-7,12)\nslope =

Answer

Explanation:

Step1: Identify the formula for slope

The formula for 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)

Here, (x_1 = 14,y_1=6,x_2=-7,y_2 = 12).

Step3: Substitute values into the formula

[ \begin{align*} m&=\frac{12 - 6}{-7-14}\ &=\frac{6}{-21} \end{align*} ]

Step4: Simplify the fraction

Divide numerator and denominator by 3: (\frac{6\div3}{-21\div3}=-\frac{2}{7})

Answer:

(-\frac{2}{7})