Practice the questions given in the worksheet on equation of a straight line.

**1.** Determine the equation of the straight line whose gradient is and which intersects the y-axis at a distance of 4 units from the origin.

2. Find the value of k, given that the line \(\frac{y}{2}\) = x – k passes through the point (-4, 4)

**3.** Find the equation of the straight line which makes an angle 450 with the positive direction of x-axis and intersects the x-axis at a distance of (-3) units from the origin.

**4.** If the line \(\frac{y}{2}\) = 3x - 6 passes through the point (p, 2p), find the value of p.

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

**6.** Find the point midway between the point
(-1, 3) and the point intersection of the lines 4x + y - 10= 0 and 2x + 3y - 8 =
0.

**7.** Find the equation of the straight line which
cuts off an intercept (- 4) from the x-axis and passes through the point (2, -
1).

**8.** If the slope of the line joining the points (2k,
- 2) and (1, - k) be (- 2), find k.

**9. **
Find the co-ordinates of the point on the line 7x - 6y = 20 for which
the ordinate is double the abscissa.

**10**. A
straight line passes through the point (2, 3) and is such that the sum of its
intercepts on the coordinate axes is 10. Find the equation of the straight
line.

**11.** Prove that the line lines x - 2 = 0, x
+ 1 = 0, y = 0 and y - 3 = 0 form a square. Find the equations of its
diagonals.

Answers for the worksheet on on equation of a straight line are given below:

**Answers:**

**1.** 3x + 2y = 8

**2.** k = -6

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

**4.** p = 3

**5.** y - 4 = √3(x - 3)

**6.** (\(\frac{3}{5}\), \(\frac{21}{0}\))

**7.** x + 6y + 4 = 0

**8.** k = \(\frac{4}{5}\)

**9.** (- 4, - 8)

**10**. 3x + 2y =
12 or x + y = 5

**11.** x + y - 2 = 0 and x - y + 1 = 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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