The slope joining (1, 2) and (3, 6) is 2 and the slope of 2x + 3y = 6 is −2/3, so this Class 11 sheet opens with slope from two points and from a line equation. The answers record 0 for a horizontal line and y = x as a line identity.
Key Takeaways
The slope joining (1, 2) and (3, 6) is 2 (Q1).
The slope of 2x + 3y = 6 is −2/3 (Q2).
Q3 records 0 as the slope of a horizontal line.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The slope of the line joining (1, 2) and (3, 6) is
(a) 1(b) 2(c) 3(d) 4
2.The slope of the line 2x + 3y = 6 is
(a) 2/3(b) -2/3(c) 3/2(d) -3/2
3.The slope of a horizontal line is
(a) 0(b) 1(c) Not defined(d) -1
4.The equation of the line with slope 1 passing through the origin is
(a) y = x(b) y = -x(c) x + y = 0(d) y = 2x
5.The distance of the point (3, 4) from the x-axis is
(a) 3(b) 4(c) 5(d) 7
6.The slope of a vertical line is
(a) 0(b) 1(c) Not defined(d) -1
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Write the formula for the slope of the line joining (x₁, y₁) and (x₂, y₂).
8.Find the slope of the line joining (2, 3) and (4, 7).
9.Find the slope of the line 3x - y = 5.
10.Write the slope-intercept form of the equation of a line.
11.Find the slope of the line y = 2x + 1.
12.Write the point-slope form of the equation of a line.
13.Find the slope of the line passing through (0, 0) and (5, 10).
14.What is the slope of the x-axis?
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Find the equation of the line passing through (1, 2) with slope 3.
16.Find the slope of the line joining the points (2, 5) and (6, 13).
17.Show that the points (0, 0), (2, 2) and (5, 5) are collinear.
18.Find the equation of the line with slope -2 passing through (0, 3).
19.A line makes an angle of 45° with the positive x-axis. Find its slope.
20.Find the equation of the horizontal line passing through (3, 4).
Answer Key
1. b) 2
2. b) -2/3
3. a) 0
4. a) y = x
5. b) 4
6. c) Not defined
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the slope joining (1, 2) and (3, 6)?
2, option (b) in this worksheet (Q1).
What is the slope of 2x + 3y = 6?
−2/3, option (b) in this worksheet (Q2).
What is the slope of a vertical line?
Not defined, option (c) in this worksheet (Q6).
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