SOLUTION: Given A(2,3) and B(5,8), write an equation of a line parallel to AB containing the point P(-2,-4).

Algebra ->  Linear-equations -> SOLUTION: Given A(2,3) and B(5,8), write an equation of a line parallel to AB containing the point P(-2,-4).       Log On


   

Question 893: Given A(2,3) and B(5,8), write an equation of a line parallel to AB containing the point P(-2,-4).
Answer by usyim88hk(158) About Me  (Show Source):
You can put this solution on YOUR website!
First, find the slope of the line AB
+%283-8%29%2F%282-5%29+
which is equal to
+5%2F3+
then use the formula
+y+=+mx%2Bb+
m is the slope so we can now plug in (5/3) for m
+y+=+%285%2F3%29x%2Bb+
next, plug in (-2,-4) to the equation
+-4+=+%285%2F3%29%28-2%29%2Bb+
then, slove for b
+-4+=+%28-10%29%2F3%2Bb+
+-4-%28-10%2F3%29+=+b+
+-4%2B%2810%2F3%29+=+b+
+-2%2F3+=+b+
Finally, plug in -2/3
y+=+%285%2F3%29x-%282%2F3%29+