Vocabulary: Coefficient - a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Example: To verify if point A(4/7, -2) lies on y = 8x - 4, substitute the coordinates into the equation

Highlight: Special cases include lines passing through the origin $y = mx$, lines parallel to axes $x = k or y = k$, and bisectors of quadrants

Definition: The point-slope form of a line equation is $y - y₁$ = m$x - x₁$, where m is the slope and (x₁, y₁) is a point on the line

Example: Finding the equation of a line passing through A(2, -3) with slope m = 2 results in y = 2x - 7

Highlight: Two main methods are presented: using two points, or using one point and the slope

Definition: The slope formula between two points is m = $y₂ - y₁$/$x₂ - x₁$

Highlight: Parallel lines have equal slopes, while perpendicular lines have slopes that are negative reciprocals of each other

Example: For the line -3x + 2y - 4 = 0, the slope can be calculated as m = 3/2

Definition: The implicit form of a line is ax + by + c = 0, while the explicit form is y = mx + q

Example: Converting 2x + 3y - 6 = 0 from implicit to explicit form yields y = -2/3x + 2

Highlight: The process of finding points on a line involves choosing x-values and calculating corresponding y-values