If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.
A
y = 5x + 2
B
y = 5x + 3
C
y = 12x + 2
D
y = 22x + 3
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
The equation of a straight line is given as \(y = mx + b\)
where m = the slope of the line
b = intercept
Given points A(3, 12) and B(5, 22), the slope = \(\frac{22 - 12}{5 - 3}\)
= \(\frac{10}{2}\) = 5
Hence, the equation of the line is \(y = 5x + 2\).
Source: Myschool Past Questions Archive (Record #55017)