Flashcards: Mastering Line Equations and Properties — 12 cards

Line slope — formula?

(y₂ - y₁)/(x₂ - x₁)

Vertical line — slope?

Undefined slope, x = constant

Positive slope — direction?

Line rises from left to right

Perpendicular slopes — relation?

Negative reciprocal, m₁ × m₂ = -1

Line intercepts — definition?

Points where line crosses axes

X-intercept — find?

Set y=0, solve for x

Y-intercept — find?

Set x=0, solve for y

Parallel lines — slope?

Same slope, different intercepts

Line equation from two points — step?

Calculate slope, then use point-slope form

Line in slope-intercept form?

y = mx + b, where b is y-intercept

Standard form to slope?

Solve for y to find slope from Ax + By = C

Horizontal line — slope?

Zero slope, y = constant