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:

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

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● 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

10th Grade Math

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