Expressing a linear expression of a straight line in terms of slope of the line and intercept at horizontal axis is defined equation of a straight line in terms of slope and x-intercept.
A straight line often appears in geometry by passing through the horizontal axis of the Cartesian coordinate system at an
-intercept. It makes the standard form of equation of the straight line to transform into some other form. In this case of straight line passing through the horizontal axis at an x-intercept, the equation of the straight line is usually expressed in terms of the slope of the straight line and x-intercept.
is a straight line which passes through the horizontal
-axis at an
-intercept by making some angle with the same horizontal axis.
Assume, the angle made by the straight line is theta
. Also assume, the point
of the straight line is intersected with the horizontal axis at a distance of
units from the origin. Therefore, the coordinates of the point
. The point
is one of the points of the straight line and also one of the points of the horizontal axis. Hence, the point
-intercept. Assume, the coordinates of the point
Draw a perpendicular line from point
and assume it intersects the horizontal axis at a point, which is assumed to call point
. Thus, a right angled triangle, known
is formed by the straight line
becomes the hypotenuse of the right angled triangle
becomes the adjacent side of the right angled triangle
becomes the opposite side of the right angled triangle
According to the right angled triangle
The length of the opposite side is
The length of the adjacent side is
According to concept of the slope of the straight line, slope of a straight line is expressed in mathematical form as follows.
It can be written as follows.
It is an algebraic linear equation, which represents a straight line having some slope but it is passing through the horizontal axis at an
List of most recently solved mathematics problems.
Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.