Example 1 · level 1
Find the slope of the line through (−4, 3) and (1, 5).
Show solution
- m = 2/5.
Answer: 2/5
CLASS 11 MATHS · STRAIGHT LINES
Straight lines: slope, intercepts and distance
Slope = (y₂ − y₁)/(x₂ − x₁). For ax + by + c = 0, slope = −a/b and the distance of (x₁, y₁) from the line is |ax₁ + by₁ + c|/√(a² + b²).
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Worked examples
Example 2 · level 2
For the line −5x + 5y + 5 = 0, find the slope.
Show solution
- Slope = 1.
Answer: 1
Example 3 · level 3
Find the perpendicular distance of the point (−1, −5) from the line 3x + 4y + 43 = 0.
Show solution
- ax₁ + by₁ + c = 3 × (−1) + 4 × (−5) + 43 = 20.
- d = |20| / 5 = 4.
Answer: 4