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.

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

Correct Option: Answer is A

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 = (22-12)/(5-3) = 10/2 = 2
therefore, equation of the line is y=5x+2

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