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## Lines in Two Dimensions

Line forms Slope y-intercept form: $$y = mx+b$$ Two point form: $$y – y_1 =\frac{y_2-y_1}{x_2 – x_1} (x – x_1)$$ Point slope form: $$y – y_1 = m(x – x_1)$$ Intercept form: $$\frac{x}{a} + \frac{y}{b} = 1~,~(a,b \ne 0)$$ Normal form: $$x\cdot \cos\Theta + y\cdot \sin\Theta = p$$ Parametric form: […]

## Conic Sections Formulas

The Parabola Formulas The standard formula of a parabola $$y^2 = 2\,p\,x$$ Parametric equations of the parabola: \begin{aligned} x &=2\,p\,t^2 \\ y &= 2\,p\,t \end{aligned} Tangent line in a point $$D(x_0, y_0)$$ of a parabola $$y^2 = 2px$$ is: $$y_0\,y=p\left(x+x_0\right)$$ Tangent line with a given slope m: $$y = m\,x + \frac{p}{2m}$$ […]

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