Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
Step-by-step explanation:
here,
P(5,4),Q(8,10) and R(X,18) are collinear so,
slope of PQ=slope of QR
or,(y2-y1)/(x2-x1)=(y2-y1)/(x2-x1)
or,(10-4)/(8-5)=(18-10)/(X-8)
or,2=8/(X-8)
or,2(X-8)=8
or,2X=8+16
or,X=12
