rajman41 wrote:Q: What are the coordinates for the point on line A(-5,6) and (-2,0) that is 3 times as far from b, and that is in between points A and B?
could you please help me break down in a more understandable process to solve this problem in a short time period. Thank you in advance!
I have rewritten the question stem. There is something missing in it.
What are the co-ordinates for the point on line A(-5,6) and B(-2,0) that is 3 times as far from B as from A, and that is in between points A and B?
Say The point 3 times farther from B is C. So A, C & B are co-linear & lying on the line in that orer. We can say AC:BC::1:3
Say the co-ordinates of C is (x,y).
Co-ordinates of a point that intersects a line in the ratio of m:n is given by
x = (mx1+nx2)/(m+n) & y = (my1+ny2)/(m+n); here (x1,y1)=(-5,6) i.e. point A & (x2,y2)=(-2,0) i.e. point B.
x = (3.-5+1.-2)/(3+1) = -32/4 = -8 & y = (3.6+1.0)/(3+1) = 18/4 = 9/2. So the point is (-8,9/2).
Shalabh Jain,
e-GMAT Instructor
