The straight line is a fundamental concept in coordinate geometry. In two-dimensional space, a straight line can be represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line, m, represents the steepness of the line and can be calculated by finding the ratio of the change in y to the change in x for any two points on the line. The y-intercept, b, represents the point at which the line crosses the y-axis.
A line with a slope of zero is a horizontal line and a line with an undefined slope is a vertical line.
A line can also be represented in the slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept. This is the most common form in which the equation of a straight line is written.
In three-dimensional space, a straight line can be represented by the equation x = x_0 + ta, y = y_0 + tb, z = z_0 + t*c, where (x_0, y_0, z_0) is a point on the line, (a, b, c) is the direction vector of the line, and t is a real number.
The distance between two point on the line can be found by using the distance formula: Distance = √((x2-x1)^2 + (y2-y1)^2)
The concept of a straight line is also used in linear algebra and many other branches of mathematics, as well as in physics and engineering.
In summary, a straight line is a basic concept in coordinate geometry and mathematics in general, it can be represented in different forms of equation, it has a slope, y-intercept, distance between two points and it can be represented in three-dimensional space as well.