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(2,7) and (-10,13)\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(2,7) and (-10,13)\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)

Let ((x_1,y_1)=(2,7)) and ((x_2,y_2)=(-10,13)).

Step3: Substitute values into the formula

(m=\frac{13 - 7}{-10 - 2}).

Step4: Simplify the numerator and denominator

The numerator (13 - 7 = 6), and the denominator (-10 - 2=-12). So (m=\frac{6}{-12}).

Step5: Reduce the fraction

(\frac{6}{-12}=-\frac{1}{2}).

Answer:

(-\frac{1}{2})