Table of Contents
What is a Straight Line?
A straight line is a two-dimensional geometric figure that has only one dimension, length. It is a line segment that extends in a straight direction.
Angles Formed By A Straight Line and A Point
Angles are formed when two straight lines intersect. The angles will be equal if the lines are parallel. The angles will be different if the lines are not parallel. The angle will be largest when the lines are perpendicular.
How To Draw A Straight Line?
There are a few ways to draw a straight line. One way is to use a ruler and draw it freehand. Another way is to use a dot and draw a line from the dot.
Know About The Direction of Straight Lines
A straight line is a line that is perpendicular to the plane that it is in.
What are Curves in Geometry?
Curves in geometry are shapes that are not straight lines. Curves can be circles, ellipses, parabolas, or hyperbolas.
Solved Example On Straight Line
A train leaves a railway station at 6 a.m. and travels at a uniform speed of 60 mph. It arrives at the next station at 9 a.m. Find the distance between the two stations.
The distance between the two stations is 153 miles.
FAQs
Q: What is a straight line?
A: A straight line is a set of points that extends infinitely in both directions and can be defined by an equation of the form y = mx + b, where m is the slope and b is the y-intercept.
Q: What is the slope of a straight line?
A: The slope of a straight line is the measure of its steepness and is defined as the change in the y-coordinate over the change in the x-coordinate between any two points on the line. It can be calculated using the formula m = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are any two points on the line.
Q: What is the y-intercept of a straight line?
A: The y-intercept of a straight line is the point where it intersects the y-axis, and it is the value of y when x is equal to 0. It is represented by the constant term in the equation of the line y = mx + b.
Q: How do you find the equation of a straight line?
A: The equation of a straight line can be found using the point-slope form, slope-intercept form, or two-point form. In the point-slope form, the equation of a line passing through a point (x1, y1) with slope m is given by y – y1 = m(x – x1). In the slope-intercept form, the equation of a line with slope m and y-intercept b is given by y = mx + b. In the two-point form, the equation of a line passing through two points (x1, y1) and (x2, y2) is given by y – y1 = ((y2 – y1) / (x2 – x1))(x – x1).
Q: What is the distance between two parallel lines?
A: The distance between two parallel lines is the perpendicular distance between any point on one line and the other line. It can be calculated using the formula d = |b1 – b2| / √(m1^2 + 1), where m1 and m2 are the slopes of the two parallel lines, and b1 and b2 are their y-intercepts.
Q: What is the angle between two intersecting lines?
A: The angle between two intersecting lines is the angle formed by the intersection of the two lines. It can be calculated using the formula θ = arctan(|(m1 – m2) / (1 + m1m2)|), where m1 and m2 are the slopes of the two lines.
