What is the equation of the line PQ?
Attached Figure / Diagram
A
y = x - 5
B
y = x + 3
C
y = x + 5
D
y = 2x + 3
E
y = 2x - 3
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
The points P(-2, 3) and Q(2, 7) are on the line.
Gradient of the line = \(\frac{7 - 3}{2 - (-2)}\)
= \(\frac{4}{4}\)
= 1
y = x + b
To find the intercept, we have
7 = 2 + b or 3 = -2 + b.
Solving for b, we get b = 5.
\(\therefore\) The line is y = x + 5.
Source: Myschool Past Questions Archive (Record #23495)