Question 136007
I'm not going to take your test for you, but I'll give you some information that will help you.


The equation for a line can be derived when given two points by using the two-point form of the equation of a straight line:


{{{y-y[1]=((y[1]-y[2])/(x[1]-x[2]))(x-x[1])}}}


The equation for a line can be derived when given the slope and a point by using the point-slope form of a straight line:


{{{y-y[1]=m(x-x[1])}}}


If an equation is in the form {{{y=mx+b}}}, then m is the slope and b is the y-coordinate of the y-intercept (which is designated by the ordered pair (0,y))


The standard form of the equation of a line is {{{ax+by=c}}}


Lines are parallel if and only if their slopes are equal.


Lines are perpendicular if and only if their slopes are negative reciprocals of each other.  In other words, {{{L[1]}}} is perpendicular to {{{L[2]}}} if and only if {{{m[1]=(-1)/m[2]}}}