Equation of a Line

The angle θ that a straight

The angle θ that a straight line makes with the positive direction of the x-axis, measured anticlockwise. For horizontal lines (parallel to x-axis), θ

The slope m of a line

The slope m of a line is defined as m = tan θ, where θ is the inclination. For two points (x₁, y₁) and (x₂, y₂), slope = (y₂ - y₁)/(x₂ - x₁). Horizont

Equation

Equation: y - y₁ = m(x - x₁), where (x₁, y₁) is a known point on the line and m is the slope. This form is used when we know one point on the line and

Equation

Equation: y = mx + c, where m is the slope and c is the y-intercept (the y-coordinate where the line crosses the y-axis). This is the most common and

Equation

Equation: (y - y₁)/(y₂ - y₁) = (x - x₁)/(x₂ - x₁), used when two points (x₁, y₁) and (x₂, y₂) on the line are known. Can be simplified to y - y₁ = [(y