Lines

Question	Answer
The general form of an equation of a line	\(ax+by+c=0\) where \(a\)- \(b\) and \(c\) are three real numbers
The slope-intercept form (the slope-intercept equation) of an equation of a line	\(y=mx+p\) where \(m\) and \(p\) are real numbers- \(m\) being the slope and \(p\) the \(y\)-intercept. This form is unique for any line not parallel to the \(y\)-axis.
The point-slope form of an equation of a line	\(y-y_0=m(x-x_0)\)- where \(m\) is a real number- the slope- and \((x_0-y_0)\) is a couple of real numbers- the coordinates of a point on the line. This form is not unique- as any point on the line can be used.
The intercept form of an equation of a line	\(\dfrac{x}{q}+\dfrac{y}{p}=1\) where \(p\) and \(q\) are real nonzero numbers- respectively the \(y\)-intercept and the \(x\)-intercept
The slope (or rate of change) of the line connecting two points \((x_0-y_0)\) and \((x_1-y_1)\)	\(\dfrac{y_1-y_0}{x_1-x_0}\)

Resource summary

	Created by Dominique TREMULOT 8 months ago