Important Formulas
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)]
Practice Questions on Coordinate Geometry
In this article, we will learn about one interesting topic which is covered in class 9 and class 10 mathematics. We will look at some formulas and problems of Coordinate Geometry.