Practice the questions given in the worksheet on slope and intercepts of the straight line.

**1.** Write the slope of the straight line whose inclination is

(i) 30°

(ii) 60°

(iii) 45°

(iv) 150°

(v) 135°

**2.** Find the slopes and inclinations of the straight lines joining each of the following pair of points:

(i) (0, 0) and (√3, 1)

(ii) (0, -4) and (3, -1)

(iii) (4, 6) and (- 2, 6)

(iv) (3, -√3) and (√3, -1).

**3.** Write
the inclination of the line whose slope is

(i) √3

(ii) 1

(iii) \(\frac{1}{√3}\)

(iv) -1

**4**. Find the slopes and intercepts on y-axis in
each of the following straight lines:

(i) 2x - 3y + 5 = 0

(ii) y + 3x = 9

(iii) y + x = 0

(iv) 2y = 7

(v) ax + by + c = 0, b ≠ 0.

**5.** Find
the intercept of the following straight lines on the co-ordinate axes.

(i) 3x + 4y = 12

(ii) 7x + 8y + 56 = 0

(iii) 2x - 5y + 15 = 0

(iv) px + qy + r = 0 (p, q, r ≠ 0).

Answers for the worksheet on slope and intercepts are given below:

**Answers: **

**1.** (i) \(\frac{1}{√3}\)

(ii) √3

(iii) 1

(iv) -\(\frac{1}{√3}\)

(v) -1

**2.** (i) \(\frac{1}{√3}\), 30°

(ii) 1, 45°

(iii) 0, 0°

(iv) -\(\frac{1}{√3}\), 150°

**3.** (i) 60°

(ii) 45°

(iii) 30°

(iv) 135°

**4.** (i) \(\frac{2}{3}\), \(\frac{5}{3}\)

(ii) - 3, 9

(iii) -1, 0

(v) - \(\frac{a}{b}\), - \(\frac{c}{b}\)

**5. **(i) 4,
3

(ii) -8, - 7

(iii) - \(\frac{15}{2}\), 3

(iv) -\(\frac{r}{p}\), -\(\frac{r}{q}\)

● **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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