Practice the questions given in the worksheet on point-slope form of the straight line.

If the slope = m and the line passes through the point (x\(_{1}\), y\(_{1}\)), the equation of the lien is y - y\(_{1}\) = m(x - x\(_{1}\)), which is known as point-slope form of a straight line.

**1.** Determine the equation of the straight line whose inclination is 60° and which passes through the point (3, 4).

**2.** Find the equation of the straight line whose slope is 3 and passes through the point (-1, 2)

**3.** Find the equation of the straight line whose slope is -2 and passes through the point (3, 0)

**4.** Find the equation of the straight line whose inclination is 45° and passes through the point (4, -1)

**5.** A straight line passes through the point (- 1, 4) and makes an angle 60° with the positive direction of the x-axis. Find the equation of the straight line.

**6.** Find the equation of the straight line whose inclination is 60°
and passes through the origin.

**7.** Find the equation of the line which is inclined at 135° with
the negative direction of the x-axis and passes through the point (1, 2)

**8.** Find the equation of the line which is inclined at 45° with the
positive direction of the y-axis and passes through the point (3, 2)

**9.** Find the equation of the straight line parallel to the y-axis
and passes through the point (1, 3).

**10.** Find the equation of the straight line parallel to the y-axis
and passes through the point (-2, 3).

**11.** Find the equation, of the straight line whose
inclination is 600 and which passes through the mid-point of the line-segment
joining the points (3, - 4) and (7, 8).

Answers for the worksheet on point-slope form of the straight line are given below:

**Answers:**

**1.** y - 4 = √3(x- 3)

**2.** 3x - y + 5 = 0

**3.** 2x + y - 6 = 0

**4.** x - y - 5 = 0

**5.** y - 4 = √3(x + 1)

**6.** √3x - y = 0

**7.** x - y + 1 = 0

**8.** x - y - 1 = 0

**9.** x - 1 = 0

**10.** x + 2 = 0

**11.** y - 2 = √3(x - 5)

● **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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