Question 1146166
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slope-intercept equation for a line passing through the point (4,2) that is parallel to the line 4x+7y=9. 
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Then write a second equation for a line passing through the point(4,-2) that is perpendicular to the line 4x+7y=9
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{{{Ax+By=C}}}, a form of linear equation

Parallel line is Ax+By=K  for some real K, {{{K<>C}}}


Perpendicular line is  Bx-Ay=P  for some real P,  {{{P<>C}}}, {{{P<>K}}}


In either case, if line must pass through some point  (h,v), then just substitute h and v to find the right member constant K or P.