Line equation calculator
Find the equation of a line through two points. Shows slope-intercept (y=mx+b), point-slope, and standard form.
Point 1
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Point 2
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Line equation forms
Slope-intercept: y = mx + b (m = slope, b = y-intercept)
Point-slope: y − y₁ = m(x − x₁)
Standard form: Ax + By = C (A, B, C are integers)
Finding slope from two points
m = (y₂ − y₁)/(x₂ − x₁)
Points (1,2) and (4,6): m = (6−2)/(4−1) = 4/3
Special cases
Horizontal line: m = 0, equation is y = b.
Vertical line: m is undefined, equation is x = a.
Parallel lines: Same slope, different intercept.
Perpendicular lines: Slopes multiply to −1 (m₁ × m₂ = −1).
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