Class 9 Mathematics · Chapter 7 · Test 3
Equation of a Line
40 MCQs
40 questions · 35 min · 40 marks
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Sample questions
The first 5 of 40. Try each one, then tap to see the answer.
Question 1
The equation of a straight line in the slope-intercept form is written as:
- Ay = m(x + c)
- By − y₁ = m(x − x₁)
- Cy = c + mx
- Dax + by + c = 0
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Answer: C
Slope-intercept form is y = mx + c which can also be written y = c + mx.
Question 2
The equation of a line in point-slope form is:
- Ay = m(x + c)
- By − y₁ = m(x − x₁)
- Cy = c + mx
- Dax + by + c = 0
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Answer: B
Point-slope form is y − y₁ = m(x − x₁).
Question 3
The two-point form of the equation of the line through (x₁, y₁) and (x₂, y₂) is:
- Ay − y₁ = ((y₂ − y₁)/(x₂ − x₁))(x − x₁)
- By = mx + c
- Cx/a + y/b = 1
- Dx cos α + y sin α = p
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Answer: A
The slope (y₂ − y₁)/(x₂ − x₁) is used in the point-slope form.
Question 4
The equation of a line with non-zero x-intercept a and y-intercept b is:
- Ay = mx + c
- By − y₁ = m(x − x₁)
- Cax + by + c = 0
- Dx/a + y/b = 1
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Answer: D
This is the intercepts form of the equation of a line.
Question 5
The equation of a line in normal form is:
- Ay = mx + c
- Bx/a + y/b = 1
- C(x − x₁)/cos α = (y − y₁)/sin α
- Dx cos α + y sin α = p
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Answer: D
Normal form is x cos α + y sin α = p.
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