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Questions about Algebra.

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1. Find the slope of the line passing through the points (7, –4) and (–6, –7).
  • Slope = rise/run = (y2 - y1)/(x2 - x1) = (-4 - -7)/(7 - -6) = (-4 + 7)/(7 + 6) = -3/13

2. |2x + 7| = 1
 
Split into 2 equations and solve for x:

2x + 7 = 1       and         2x + 7 = -1
     - 7   -7                           - 7     -7                subtract 7 on each side to get 2x by itself
__________                 ____________
2x      = -6                     2x       = -8
/2           /2                    /2           /2               divide by 2 on each side to get x by itself
__________                  ____________
x = -3                             x = -4
 
x = -3, -4