Question

Write an equation of the line that passes through a pair of points:

Answer 1

Answer:

b)

The  equation of the line that passes through a pair of points

   $y = \frac{-1}{8} ( x ) -\frac{11}{8}$

Step-by-step explanation:

 Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

                        $m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}$

The  equation of the line that passes through a pair of points

              $y - y_{1} = m ( x - x_{1} )$

           $y - (-2) = \frac{-1}{8} ( x - (5) )$

          $y = \frac{-1}{8} ( x ) +\frac{5}{8} -2$

        $y = \frac{-1}{8} ( x ) +\frac{5-16}{8}$

      $y = \frac{-1}{8} ( x ) -\frac{11}{8}$