Coordinate Geometry - Things To Remember!
| All Formulas of Coordinate Geometry |
| General Form of a Line |
Ax + By + C = 0 |
| Slope Intercept Form of a Line |
y = mx + c |
| Point-Slope Form |
y − y1= m(x − x1) |
| The slope of a Line Using Coordinates |
m = Δy/Δx = (y2 − y1)/(x2 − x1) |
| The slope of a Line Using General Equation |
m = −(A/B) |
| Intercept-Intercept Form |
x/a + y/b = 1 |
| Distance Formula |
|P1P2| = √[(x2 − x1)2 + (y2 − y1)2] |
| For Parallel Lines, |
m1 = m2 |
| For Perpendicular Lines, |
m1m2 = -1 |
| Midpoint Formula |
M (x, y) = [½(x1 + x2), ½(y1 + y2)] |
| Angle Formula |
tan θ = [(m1 – m2)/ 1 + m1m2] |
| Area of a Triangle Formula |
½ |x1(y2−y3)+x2(y3–y1)+x3(y1–y2)| |
| Distance from a Point to a Line |
d = [|Ax0 + By0 + C| / √(A2 + B2)] |
Ready to Practice!