SOLUTION: which is a slope of the line containing p (-5,6) and q (3,-1)

Algebra ->  Linear-equations -> SOLUTION: which is a slope of the line containing p (-5,6) and q (3,-1)      Log On


   



Question 937658: which is a slope of the line containing p (-5,6) and q (3,-1)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(-5,6)
(3,-1)
slope = ( change in y ) / ( change in x )
Let +m+ = slope
+m+=+%28+6+-%28-1%29+%29+%2F+%28+-5+-+3+%29+
+m+=+%28+6+%2B+1+%29+%2F+%28-8%29+
+m+=+-7%2F8+
-----------------
check:
The general form is:
+y+=+m%2Ax+%2B+b+
+y+=+%28-7%2F8%29%2Ax+%2B+b+
----------------------
(-5,6)
+6+=+%28-7%2F8%29%2A%28-5%29+%2B+b+
+6+=+35%2F8+%2B+b+
+b+=+48%2F8+-+35%2F8+
+b+=+13%2F8+
------------------
+y+=+%28-7%2F8%29%2Ax+%2B+13%2F8+
Here's the plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%28-7%2F8%29%2Ax+%2B+13%2F8+%29+
Looks about right