Question 78319
<pre>
Find an equation of the line containing the given pair of points
(-1,-8) and (-4,-7)



Slope - Intercept Form of the equation will help us to find the equation
given two points. 

              y = mx + b


STep 1. Find the slope given two points.
                      {{{y[2]}}} - {{{y[1]}}}
       Slope or m =  ______________
                      {{{x[2]}}} - {{{x[1]}}}

(-1, 8) = ({{{x[1]}}}, {{{y[1]}}})
(-4, -7) = ({{{x[2]}}}, {{{y[2]}}})

         -7 - 8
  m =  ___________
         -4 -(-1)

        - 15
 m =  ________
          -3

  m = 5


Step 3 : Find the y - intercept or b

       y = mx + b  where m = 5, x= -4, y = -7

Note : you can use either of the two points given. same slope of course

      -7 = 5(-4) + b
      -7 = -20 + b
  20 - 7 = b
      13 = b

Step 3: Substitute m = 5, b = 13 to slope -intercept form y = mx + b

           y = 5x + 13  ---> this is the equation in slope -intercept form

          5x - y = 13  ----> Equation in standard form.