What is the equation of the line PQ?
-
A.
y = x – 5 -
B.
y = x + 3 -
C.
y = x + 5 -
D.
y = 2x + 3 -
E.
y = 2x – 3
Correct Answer: Option C
Explanation
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.