Worksheet on Point-slope Form

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

10th Grade Math

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