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
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