Problem: The points (6,12) and (0,−6) are connected by a straight line. Another point on this line is:
Answer Choices:
A. (3,3)
B. (2,1)
C. (7,16)
D. (−1,−4)
E. (−3,−8)
Solution:
y=mx+b,m=x2−x1y2−y1=6−012+6=3;∴y=3x+b. Substituting, −6=3.0+b;∴b=−6;∴y=3x−6. This equation is satisfied by (3,3).