1.

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

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.



Discussion

No Comment Found

Related InterviewSolutions