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Question 352501: Midpoint/Distance/Linear Equations
Mario and Luigi need to get from their home to the race track in their hometown of coordinateville. They know that their home is located at (-4,-5) and the race track is at (-3,-7). Find the midpoint and the distance between their house and the race track. Also, what is the line of equation between their house and the race track?
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! Let M = midpoint
M = [(-3) + (-4)]/2,[(-5 + (-7)]/2
M = (-7/2, -12/2)
M = (-7/2, -6)....This is the midpoint.
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I guess by the line equation, you mean the equation of the line between the two given points.
In that case, we need to find the slope first.
Let little m = the slope
m = (-7 - (-5))/(-4 - (-3))
m = (-7 + 5)/(-4 + 3)
m = -2/-1
m = 2
The slope is 2.
We now use the point-slope formula and one of the given points to find your equation.
y - y1 = m(x - x1)....This is the point-slope formula.
y - (-5) = 2(x - (-4))
y + 5 = 2(x + 4)
y + 5 = 2x + 8
y = 2x + 8 - 5
y = 2x + 3
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