GEOMETRY HELP!!!!!!!

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WZ has end points  w(-3,-8) and z(5,12). point x lies between w and z such that  wx+1/4 find the coordinates of x.

the answer is  x+(3/4)w+(1/4)z but i don't know how the answer was found 

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

By Using the midpoint formula, we can find the midpoint of WZ. If we call that midpoint P, finding the midpoint of WP will give us the required point X such that WX = (1/4)WZ. 

With using midpoint formula, the midpoint of WZ is: 

P = ((-3 + 5)/2, (-8 + 12)/2) = (1, 2). 

Now, the midpoint of WP is: 

X = ((-3 + 1)/2, (-8 + 2)/2) = (-1, -3). 

As a check: 

WZ = √[(-3 - 5)^2 + (-8 - 12)^2] = √(64 + 400) = 4√29 
WX = √[(-3 + 1)^2 + (-8 + 3)^2] = √(4 + 25) = √29 = (1/4)WZ. 

Oct 3rd, 2015


Oct 3rd, 2015


Oct 3rd, 2015

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