SOLUTION: A line segment has endpoints at (-4,5) and (6,3). What is the equation of the line with slope 2/3 that passes though its midpoint?Please explain

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Question 583673: A line segment has endpoints at (-4,5) and (6,3). What is the equation of the line with slope 2/3 that passes though its midpoint?Please explain
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
First find the midpoint of (-4,5), (6,3)
You find the midpoint of the x co-ordinates
and then the midpoint of the y co-ordinates
x[mid]: +%28+6+-+4+%29%2F2+=+1+
y[mid]: +%28+3+%2B+5+%29%2F2+=+4+
The midpoint is at (1,4)
You can use the point-slope formula:
+%28+y+-+4+%29+%2F+%28+x+-+1+%29+=+2%2F3+
+3%2A%28+y+-+4+%29+=+2%2A%28+x+-+1+%29+
+3y+-+12+=+2x+-+2+
+3y+=+2x+%2B+10+
+y+=+%282%2F3%29%2Ax+%2B+10%2F3+
check:
Does it go through (1,4)?
+4+=+%282%2F3%29%2A1+%2B+10%2F3+
+4+=+12%2F3+
+12+=+12+
OK