Coordinate Geometry (Int)
This Coordinate Geometry (Intermediate) course is an extension of the Coordinate Geometry (Basic) course. In this course, students will explore the topic in greater depth, learning how to find the distance between two points and how to form equations of straight lines using given information such as one point and a gradient, or two points.
Related Lessons:
Coordinate Geometry Formula
In this video, we will cover all the important formulas in Coordinate Geometry and explore how they are connected to one another.
\(m=\frac{y_2-y_1}{x_2-x_1}\)
\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \)
General Formula Of Eq Of Str Line
The general form of an equation of a straight line is \(y=mx+c\). The important properties of this equations are:
- Coefficient of \(y\) is 1
- \(m\) is the gradient
- \(c\) is the y-intercept when \(x=0\)
How To Form Eq Of Str Line
In exams, there are two common scenarios for forming the equation of a straight line.
Scenario 1 – One Point One Gradient
- Substitute the value of the gradient into the equation \(y=mx+c\)
- Substitute the coordinate point into the equation to find the value of \(c\), which is the y-intercept
- Form the equation of the straight line using the values of \(m\) and \(c\)
Scenario 2 – Two Points
- By applying the formula \(m=\frac{y_2-y_1}{x_2-x_1}\), we first find the gradient of the straight line
- Using either coordinate point, we can apply scenario 1 to form the equation of the straight line