Practice the questions given in the worksheet on collinearity of three points using the equation of a line.

**1.** Find the equation of the straight line passing through the points (3, - 4) and (1, 2) and hence show that the three points (3 ,-4), (1, 2 ) and (2, - 1) are collinear.

**2.** Show that the points (1, - 1), (5, 5) and (- 3, - 7) are collinear.

Also find the equation of the line on which they lie.

**3.** Prove that the points (2, -3), (1, 2) and (0, 7) are collinear.

Also, find the equation of the line on which the points lie.

**4.** Prove that the points (3, 1), (5, -5) and (- 1, 13) are
collinear.

Find the equation of the straight line on which the points lie.

**5.** If the point (h, -2) is collinear with the points (2, 2) and
(-3, 1) then find the value of h.

Also, find the slope of the line containing the three points.

**6.** Show that the points (-1, 3), (0, 2) and (1, 1) are collinear.

Also find the equation of the line on which they lie.

Answers for the worksheet on collinearity of three points are given below:

**Answers:**

**1.** 3x + y = 5

**2.** 3x - 2y = 5

**3.** 5x + y - 7 =0

**4.** 3x + y = 10.

**5.** h = - 18 and slope = \(\frac{1}{5}\)

**6.** x + y - 2 = 0

● **Equation of a Straight Line**

**Inclination of a Line****Slope of a Line****Intercepts Made by a Straight Line on Axes****Slope of the Line Joining Two Points****Equation of a Straight Line****Point-slope Form of a Line****Two-point Form of a Line****Equally Inclined Lines****Slope and Y-intercept of a Line****Condition of Perpendicularity of Two Straight Lines****Condition of parallelism****Problems on Condition of Perpendicularity****Worksheet on Slope and Intercepts****Worksheet on Slope Intercept Form****Worksheet on Two-point Form****Worksheet on Point-slope Form****Worksheet on Collinearity of 3 Points****Worksheet on Equation of a Straight Line**

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