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Straight Line is considered one the most difficult concept.
81 Questions around this concept.
If as well as
are in G.P., with the same common ratio, then the points
:
Straight Line
It is a curve such that all points on the line segment joining any two points on it lies on it.
Every equation of first degree in x, y represents a straight line. General equation of a straight line is given as ax + by + c = 0 where a, b and c are real numbers and at least one of a and b is non-zero.
Slope of a Line
Slope of a line tells us the direction in which a line is drawn.
A line in a coordinate plane forms two angles with the x-axis, which are supplementary.
The angle θ made by the line 'l' with the positive direction of the x-axis and measured anticlockwise is called the inclination of the line. θ lies in the range [0o, 180o)
If θ is the angle at which a straight line is inclined to a positive direction of the x-axis, then the slope (or gradient) of this line is defined by m = tan θ
Slope will be positive when θ is an acute angle and it will be negative when θ is an obtuse angle.
Note
The slope of the line joining two given Points
If and
are two points on a straight line then the slope of the line is
.
Intercepts of a Line
X-Intercept: The x- coordinate of point where the straight line cuts x-axis.
Here straight line cuts X-axis at (x, 0) so
y-intercept: The y- coordinate of point where the straight line cuts y-axis.
Here straight line cuts Y-axis at (0, y) so
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