Find the point, M, that is five-sixths of the distance from A(-7, 2) to B(-1, -4).
I've been trying to figure out how to solve this for the past hour but I don't even know what formula to use ;-;

Question

Find the point, M, that is five-sixths of the distance from A(-7, 2) to B(-1, -4).
I've been trying to figure out how to solve this for the past hour but I don't even know what formula to use ;-;

triciaal · Answer

let's read the question: 
M is 5/6 the distance from A to B what are the coordinates of M?
what do we need to do?
we simply need to find the distance from A to B and multiply by 5/6 to get the length of AM   we know the ratio   AM:MB = 5:1 
we can use the properties of similar figures to find the coordinates of M
now, how do we find the distance from A to B? use pythagorean theorem (distance formula)

triciaal · Answer

doing a sketch is always helpful  but not required. you have 2 points (x1,y1) and (x2, y2)  the distance between (x1, y1) and (x2, y2) is square root of [ (x2-x1)^2 + (y2 - y1)^2]

anonymous · Answer

I plugged the points into the square root equation and got 11 in front of the square root of 5. How should I proceed?

triciaal · Answer

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