Explanation
-
Equation of a line:
-
Slope-intercept form: y=mx+b
-
Point-slope form: y−y1=m(x−x1)
-
Parallel lines: same slope, different y-intercept
-
Perpendicular lines: slope = negative reciprocal, pass through given point
Example:
-
Line y = 2x + 3 → parallel line y = 2x − 4
-
Line y = 2x + 3 → perpendicular line slope = −1/2 → y − 1 = −1/2(x − 0)