Question

For each pair of points, find the slope of the line that passes through both points.

Answer 1

Step-by-step explanation:

a. (1,1) and (7,5)

b. (1,1) and (5,7)

c. (2,5) and (-1, 2)

d. (2,5) and (-7,-4)

Slope of the line that passes through the points

  The slope = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

a. (1,1) and (7,5) ;

    slope  = $\frac{5-1}{7-1}$   = $\frac{4}{6}$

     slope = $\frac{2}{3}$

b. (1,1) and (5,7)

      slope  = $\frac{7-1}{5-1}$  = $\frac{6}{4}$

      slope = $\frac{3}{2}$

c. (2,5) and (-1, 2)

      slope = $\frac{2-5}{-1 - 2}$  = $\frac{-3}{-3}$

       slope  = 1

d. (2,5) and (-7,-4)

      slope  = $\frac{-4 - 5}{-7 - 2}$  

       slope = $\frac{-9}{-9}$  = 1