There are many different methods of specifying the requirements for determining the equation of a straight line. One option is to find the equation of a straight line, when two points are given.
Assume that the two points are
$({x}_{1};{y}_{1})$ and
$({x}_{2};{y}_{2})$ , and we know that the general form of the equation for a straight line is:
$$y=mx+c$$
So, to determine the equation of the line passing through our two points, we need to determine values for
$m$ (the gradient of the line) and
$c$ (the
$y$ -intercept of the line). The resulting equation is
$$y-{y}_{1}=m(x-{x}_{1})$$
where
$({x}_{1};{y}_{1})$ are the co-ordinates of either given point.
Finding the second equation for a straight line
This is an example of a set of simultaneous equations, because we can write:
The equation of the straight line that passes through
$(-3;2)$ and
$(5;8)$ is
$y=\frac{3}{4}x+\frac{17}{4}$ .
Equation of a line through one point and parallel or perpendicular to another line
Another method of determining the equation of a straight-line is to be given one point,
$({x}_{1};{y}_{1})$ , and to be told that the line is parallel or perpendicular to another line. If the equation of the unknown line is
$y=mx+c$ and the equation of the second line is
$y={m}_{0}x+{c}_{0}$ , then we know the following:
In
[link] (a), we see that the line makes an angle
$\theta $ with the
$x$ -axis. This angle is known as the
inclination of the line and it is sometimes interesting to know what the value of
$\theta $ is.
Firstly, we note that if the gradient changes, then the value of
$\theta $ changes (
[link] (b)), so we suspect that the inclination of a line is related to the gradient. We know that the gradient is a ratio of a change in the
$y$ -direction to a change in the
$x$ -direction.
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale