Question 746778
Which are you looking for ?


The line parallel to the given one has slope m=1.  The line perpendicular to the given line has slope -1.  Take the one you need and begin forming your equation to find.  Plug in the coordinates to find the y intercept according to y=mx+b, looking for b.  b=y-mx.


For the line to be parallel, you'll start with {{{y=x+b}}} and you would plug in x=-7 and y=1, and solve for b.


For the line to be perpendicular, you'll start with {{{y=-x+b}}}, and plug in the given needed point and solve for b.


Basic Instructional Note:  {{{m[1]*m[2]=-1}}} if {{{m[1]}}} and {{{m[2]}}} are slopes of perpendicular lines.  If two lines, line 1 and line 2, are parallel, then {{{m[1]=m[2]}}}.