Studied by 29 peopleSlope-intercept form
y = mx + c, where m is the gradient (slope) of the line and c is the y-intercept.
Point-slope form
y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Standard form
Ax + By = C, where A, B, and C are constants, and A and B are not both zero.
Gradient (Slope)
Represents the steepness of the line, calculated as m = Δy/Δx.
X-intercept
Where the line intersects the horizontal axis (x-axis).
Y-intercept
Where the line intersects the vertical axis (y-axis).
Parallel Lines
Lines with equal gradients that never intersect.
Perpendicular Lines
Lines intersecting at right angles with negative reciprocal gradients.
Perpendicular Bisectors
Lines cutting a segment into two equal parts at a right angle.
Logistic Function
f(x) = L / (1 + Ce^(-kx)), where L, k, and C are positive constants.
Note
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