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
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