Can you help me with understand how to solve this problem? Find the slope of the line that goes through the following points: (-4,6), (-8,6)

Given two points, you can always find the slope of a line. You're given 2 points (-4,6) and (-8,6) with specific values, but generally a point is referred to by (x,y). Now he point slope formula is:

1)  (y - y1) = m(x - x1)

     where m represents the value of the slope. Rearranging the equation gives:

2)   m = (y - y1) / (x - x1)

      so if you plug in your point values, you get

3)   m = (6 - 6) / (-4 - (-8))

      subtracting a negative number means you change the sign to addition:

4)   m = (6 - 6) / (-4 + 8)

      which simplifies to

5)   m = 0 / 4

      Zero divided by anything is zero, so the slope is zero:

6)   m = 0

      A zero slope means there's no slope; the line never intersects with the x axis; it's parallel to it, and in this case, it's parallel at y = 6.  Draw an X,Y graph with your two points and you'll see!