Equation of a Line
ICSE · Class 10 · Mathematics
Flashcards for Equation of a Line — ICSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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See them allWhat is the inclination of a line?
Answer
The inclination of a line is the angle which a straight line makes with the positive direction of the x-axis, measured in anticlockwise direction. It is denoted by θ and always lies between 0° and 180…
What is the slope (gradient) of a line?
Answer
The slope of a line is the tangent of the angle of inclination. If θ is the inclination, then slope m = tan θ. It measures the steepness of the line.
What is the formula for slope when two points (x₁, y₁) and (x₂, y₂) are given?
Answer
m = (y₂ - y₁)/(x₂ - x₁), where m is the slope of the line passing through the two given points.
What is the slope of a line parallel to the x-axis?
Answer
The slope of a line parallel to the x-axis is 0, because it makes an angle of 0° with the positive x-axis, and tan 0° = 0.
What is the slope of a line parallel to the y-axis?
Answer
The slope of a line parallel to the y-axis is undefined (or infinite), because it makes an angle of 90° with the positive x-axis, and tan 90° is undefined.
What is the equation of the x-axis?
Answer
y = 0. Every point on the x-axis has ordinate (y-coordinate) equal to zero.
What is the equation of the y-axis?
Answer
x = 0. Every point on the y-axis has abscissa (x-coordinate) equal to zero.
What is the equation of a line parallel to the x-axis at distance 'b' from it?
Answer
y = b, where b > 0 means the line is above the x-axis, b < 0 means below the x-axis, and b = 0 means the line coincides with the x-axis.
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