Point R divides PG in the ratio 1:3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q

Answer:
option C . 5
Step-by-step explanation:
For two points (x1,y1) and (x2,y2) divided by a point p in ratio m:n then coordinates of that point is given by
p : (nx1+mx2)/(m+n), (ny1+my2)/(m+n),
Given
x coordinate of P (-3)
x coordinate of Q (a) since we have to find it , let it be a
x coordinate of R(-1)\
ratio = 1:3
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Using the above formula to find the point of division
we can get value of x coordinate for point Q
x coordinate of R = 3*-3 + 1*a/(1+3)
-1 = (-9 + a)/4
=> -4 = -9 +a
=>a = -4+9 = 5
Thus, x coordinate of Q is 5