Question

coordinate geometry formulas

Answer 1

mid point formula....mid pt. of two given pts (a,b)and (c,d) = [(a+c)/2, (b+d)/2]
section formula....if the above pts are divide into m:n ratio then....[(na+mc)/(m+n) , (nb+md)/(m+n)]

Answer 2

$\mathcal{\huge{\green{\underline{\underline{Answer}}}}}$

• 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)]]