Write the forms of 2D linear equations .

1) We'll start with the general form of the linear
equation:

Ax + By + C =
0

A,B,C, are constants and the major constraint is: A,B are
not equal to zero.

2) We'll continue with the most common
form of the linear equation, namely the standard form :

y =
mx + n, where m is the slope of the straight line and n is the y
intercept.

3) We'll give another form of the linear
equation: the point slope form, that is useful when we know the slope of the line and
the coordinates of a point located on the line:

y - y1 =
m(x - x1)

m is the slope

(x1 ,
y1) are the coordinates of the point located on the
slope.

4) Another form of the linear equation is the
intercept form:

x/a + y/b = 0, where a and b represent the
x axis and y axis intercepts of the line.

5) If the line is
passing through 2 known points, then the equation of the line
is:

(x2 -x1)/(x - x1) = (y2 - y1)/(y -
y1)

6) The parametric form of the
line;

x = U + t*T

y = W +
t*V

m = V/T,

(VU−WT) / V is x
intercept and

(WT−VU) / T is y
intercept