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Write the equation of line containing the points A(1, 1) and B(4, 3)?1. 3y = 2x + 12. 2y = 3x + 23. 3y = 5x + 94. y = 3x + 1 |
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Answer» Correct Answer - Option 1 : 3y = 2x + 1 Given: Points A(1, 1) and B(4, 3) Formula Used: Equation of line containing two points (x1, y1) and (x2, y2) y = mx + C m = (y2 – y1)/(x2 – x1) Calculation: m = (3 – 1)/(4 – 1) ⇒ m = 2/3 Equation of line y = (2/3)x + C For value of C, point A(1, 1) will satisfy the equation ⇒ 1 = (2/3)(1) + C ⇒ C = 1 – 2/3 ⇒ C = 1/3 Now, the equation of line is y = (2/3)x + (1/3) ⇒ 3y = 2x + 1 ∴ The equation of line containing the points A(1, 1) and B(4, 3) is 3y = 2x + 1. |
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