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If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the ...

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.
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  • A Y = 5x + 2
  • B Y = 5x + 3
  • C Y = 12x + 2
  • D Y = 22x + 3
Correct Answer: Option a
Explanation:
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 \(y = 5x + 2\).

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