Question on: JAMB Mathematics - 2019

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

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Correct Option: A

The equation of a straight line is given as: \(y = mx + b\) 

Where:

m = the slope of the line

b = intercept

Given the points A(3, 12) and B(5, 22),

slope = \(\frac{22 - 12}{5 - 3}\)

= \(\frac{10}{2}\) = 5

Hence,

the equation of the line is \(y = 5x + 2\).

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