Question

Mixed Review for Finding Slope

Answer 1

Answer:

1) slope of the line $m = \frac{1}{4}$

2) slope of the line     $m = \frac{11}{8}$

3) slope of the line   m =2

4) slope of the line   $m = \frac{-8}{3}$

5) slope of the line m =7

Step-by-step explanation:

1)

Given points are  (4,5) and (-4,3)

slope of the line  Formula

             $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

            $m = \frac{3 - 5 }{-4-4 } = \frac{-2}{-8} = \frac{1}{4}$

            $m = \frac{1}{4}$

2)

Given points are (-2,-4) and (6,7)

slope of the line  Formula

             $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

            $m = \frac{7 - (-4) }{6-(-2) } = \frac{11}{8}$

            $m = \frac{11}{8}$

3)

Given points are (2, -4) and (10,12)

slope of the line  Formula

             $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

            $m = \frac{12 - (-4) }{10-(2) } = \frac{16}{8} =2$

            $m = 2$

4) Given points are

      (1/2,2) and (1, 2/3)

  slope of the line  Formula

             $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

            $m = \frac{\frac{2}{3} - (2) }{1-(\frac{1}{2} ) } = \frac{\frac{-4}{3} }{\frac{1}{2} }$

            $m = \frac{-8}{3}$

5)

Given points are

      (1/4,5) and (5/4 , 12)

  slope of the line  Formula

             $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

            $m = \frac{12-5}{\frac{5}{4} -\frac{1}{4} } = \frac{7}{\frac{4}{4} } = 7$

            $m = 7$