Equation of a Line
ICSE · Class 10 · Mathematics
Summary of Equation of a Line for ICSE Class 10 Mathematics. Key concepts, important points, and chapter overview.
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A straight line in the coordinate plane is described by its slope, inclination, intercepts, and equation. The inclination of a line is the angle it makes with the positive direction of the X-axis, measured anticlockwise, and it always lies between 0° and 180°. The slope, denoted by m, is the tangent
Key Concepts
The inclination of a line
The inclination of a line is the angle it makes with the positive direction of the X-axis, measured anticlockwise. It always lies between 0° and 180°.
Slope is denoted by m
Slope is denoted by m and is defined as m = tan θ, where θ is the angle of inclination. A line parallel to the X-axis has slope 0, while a line parall
If a line passes through P(x1
If a line passes through P(x1,y1) and Q(x2,y2), then m = (y2-y1)/(x2-x1). This comes from the rise over run idea using the coordinate differences of t
If a line cuts the X
If a line cuts the X-axis at P and the Y-axis at Q, then OP is the X-intercept and OQ is the Y-intercept. The X-intercept is positive if P lies to the
Since the ordinate of every point
Since the ordinate of every point on the X-axis is zero, its equation is y = 0. Since the abscissa of every point on the Y-axis is zero, its equation
Learning Objectives
- Understand inclination and slope of a line
- Identify horizontal, vertical, and oblique lines
- Find slope using two points on a line
- Write the equation of a line parallel to the X-axis or Y-axis
- Use point-slope form for a line through a given point with known slope
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