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point-slope equation
[point-slope equation|point-slope equation] The point-slope equation represents a line using a specific point and slope.
Definition
point-slope equation The point-slope equation represents a line using a specific point and slope. It is expressed as y - y₁ = m(x - x₁).
Mechanism
point-slope equation is a linear equation that represents a line given a point and the slope. It is calculated using the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point on the line.
Examples
point-slope equation The tangent line passes through the point (4, 1). Using the point-slope equation, the line is determined by finding the derivative of f(x) = cotx at x = 4.