# Worksheet on Slope and Intercepts

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:

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