Q1
What does 'm' represent in y=mx+c?
ASlope
BY-intercept
CX-intercept
DNothing specific
ICSEClass 10 (ICSE)MathematicsCh 14 · Topic 1
Equation of a Line
The equation of a line, like y=mx+c, represents a straight line's relationship between x and y coordinates, with m as slope and c as y-inter
Core concept
The slope (m) of a line, calculated as (y₂-y₁)/(x₂-x₁), shows the steepness and direction of the line.
How it works
The y-intercept (c) is where the line crosses the y-axis, occurring when x=0.
Why it matters
We can find a line's equation given two points, or given one point and the slope, using the point-slope form: y-y₁=m(x-x₁).
Key detail
Understanding the equation of a line is fundamental for coordinate geometry, helping us describe and analyse linear relationships graphically.
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• Line equation: y = mx + c.
• m = slope; c = y-intercept.
• Slope = (y₂-y₁)/(x₂-x₁).
• Y-intercept is where x=0.
• Point-slope form: y-y₁=m(x-x₁).
• This finds equations from a point and slope.
• This is fundamental for coordinate geometry.
• It describes linear relationships graphically.