SOLUTION: give that (-3,-5)and(-1,-4) are points on the same line find a point-slope form of the equation for this line I know that the slope is 1/2 then i get lost in how to put it in point

Algebra ->  Linear-equations -> SOLUTION: give that (-3,-5)and(-1,-4) are points on the same line find a point-slope form of the equation for this line I know that the slope is 1/2 then i get lost in how to put it in point      Log On


   

Question 1027300: give that (-3,-5)and(-1,-4) are points on the same line find a point-slope form of the equation for this line I know that the slope is 1/2 then i get lost in how to put it in point-slope form
Found 2 solutions by josmiceli, Boreal:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You made use of the point-slope formula
What you needed is the GENERAL point-slope formula:
( -3, -5 )
( -1, -4 )
+%28+y+-%28-5+%29%29+%2F+%28+x+-%28-3%29%29+=+%28+-4+-%28-5%29+%29+%2F+%28+-1+-%28-3%29+%29+
+%28+y+%2B+5%29+%2F+%28+x+%2B+3+%29+=+%28+-4+%2B+5+%29+%2F+%28+-1+%2B+3+%29+
++%28+y+%2B+5%29+%2F+%28+x+%2B+3+%29+=+1+%2F+2+
Multiply both sides by +2%2A%28+x%2B3+%29+
+2%2A%28+y+%2B+5+%29++=+x+%2B+3+
+2y+%2B+10+=+x+%2B+3+
+2y+=+x+-+7+
+y+=+%281%2F2%29%2Ax+-+7%2F2+
----------------------
check answer:
( -3, -5 )
+y+=+%281%2F2%29%2Ax+-+7%2F2+
+-5+=+%281%2F2%29%2A%28-3%29+-+7%2F2+
+-5+=+-3%2F2+-+7%2F2+
+-5+=+-10%2F2+
+-5+=+-5+
---------------
( -1, -4 )
+y+=+%281%2F2%29%2Ax+-+7%2F2+
+-4+=+%281%2F2%29%2A%28-1%29+-+7%2F2+
+-4+=+-1%2F2+-+7%2F2+
+-4+=+-8%2F2+
+-4+=+-4+
OK

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line is the change in y over the change in x. This is 1/2 as you show.
Point slope formula
y-y1=m(x-x1). m is the slope. Use either point for the x1 or y1. You will get the same result.
y- (-5))=(1/2)(x-(-3))
y+5=(1/2)(x+3)
y+5=(1/2)x+3/2
y=(1/2)x-(7/2)
using the other point
y-(-4))=(1/2)(x-(-1))
y+4=(1/2)(x+1)
y+4=(1/2)x +(1/2)
y=(1/2)x-(7/2)