Definitions [2]
Definition: Locus
Locus is the path traced by a moving point, which moves so as to satisfy a certain given condition/conditions.
Definition: Linear Equation
An equation of the form ax + by + c = 0 represents a straight line and is known as a linear equation.
Formulae [3]
Formula: Slope–Intercept Form
When slope and y-intercept are given
y = mx + c
-
m = slope
-
c = y-intercept (value of y when x = 0)
Formula: Two-Point Form
When two points are given
\[\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\]
Formula: Point–Slope Form
When the slope and one point are given
y − y1 = m(x − x1)
