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					                             Straight Line
Straight Line

Straight Line is defined as the shortest distance between two points. A straight
line is just a line which joins two points without any curve. In geometry a straight
line is made by joining simple two points. In other words you can say straight line
eliminates the distance between two points.

In Graph, straight line can be represented as:

The above diagram shows that PQ is a straight line and it is not a curve.

Formula of straight line is stated by a linear equation and its general form is Px +
Qy + C = 0,

here P,Q are not both 0.

Now, straight line equation is given by y = mx+d where value of m is the given
slope and the y-intercept is given by d.

For making a straight line you have to follow certain steps and the steps are:
                                       Know More About :- How to Solve Square Roots


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      First of all mark the first end point.

      Then secondly mark the second end point.

      Thirdly, just connect the two end points.

The above steps are known as straight line.

Straight line theorem can be described as if a line R intersects another line i.e. S
then the angle made by the line S above line R is the complementary angle.

Mathematically, the straight line through two different co ordinate points (a1, b1)
and (a2, b2) is given by

(i)        b = b1 + [(b2 – b1) / (a2 – a1)] · (a – a1),

where a1 and a2 are supposed to be distinct. If suppose the two points are equal,
then the equation can be written as a = a1 and it does not need a second point.

The above equation can also be written as

  b – b1 = [(b2- b1) / (a2 – a1)] · (a – a1),

or it can be written as

(a2 – a1)·(b – b1) = (b2 – b1)·(a – a1),

Whereas, the easiest formula for the straight line to remember is this:

(b – b1)/(b2 – b1) = (a – a1)/(a2 – a1)

                                                   Learn More :- Solve Recurrence Relation



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Which is the simplest formula of all the above used.

Intercept-intercept formula of the straight line: Suppose any straight line meet at
x-axis at (p, 0) and at y-axis at (0, q). Then it is defined by the equation

x/a + y/b = 1,

and it can also can be written as

ax + by = ab.

Point-slope formula of the straight line: The equation of a straight line through
point (p, q) with a given slope of m is

y = m(x - a) + b, or y - b = m(x - a).

Parametric equation of the straight line is given by: Suppose a straight line passes
through a point s0 = (a, b) which is parallel to the vector u = (n, m) is given by:

(x, y) = (p, q) + t·(n, m),

where t is any real number. It can also be written as in vector form:

s = s0 + t · n,

where r = (x, y).

Now, let's deal with the topic bar graph: What is a Bar graph? Many students asks
this question frequently. It is just the pictorial representation of data. It is a very
important topic of geometry. There are basically three types of bar graph. The first
one is Simple bar graph, second one is double bar graph and the most important
one is divided bar graph.



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posted:7/24/2012
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