During the pandemic, education was uninterrupted and ever going. Online conduction of classes has successfully proved its efficiency by offering interactive tools that make learning fun and exciting. As a result, online classes have revolutionised learning and education. With online classes students can access education from home at their own pace and comfort, which consequently allows students to stay more focused and enjoy learning incredibly demanding subjects such as maths. It is essential to be clear with CBSE class 8 maths that enables in solving more advanced maths problems in the future.
Math class 8 helps develop fundamental skills in crucial mathematics concepts, such as algebra, that have many uses in the real world. The CBSE class 8 maths syllabus is vast, and students need appropriate tools and resources to become proficient in solving and getting a deeper understanding of the chapters. The slope formula is one of the most commonly used concepts in the math class 8 curriculum. Hence, read ahead to discover how to understand the slope formula with Cuemath’s online courses.
What is Slope Formula?
The Math Class 8 syllabus covers the slope formula that represents the steepness or slant of a line on a graph. It is denoted by the letter 'm' and is used to calculate the change in the y-coordinate (abrupt change) divided by the x-coordinate (horizontal evolution) difference between two points on a line. The slope formula is given as follows:
m = (y2 - y1) / (x2 - x1)
Here (x1, y1) and (x2, y2) are the coordinates of two points on the line, and m represents the slope of the line.
For example: Suppose we have two points on a line, A(6, 5) and B(2, 13), where the coordinates of point A are (6, 5) and the coordinates of point B are (2, 13). We can use the formula for slope to calculate the slope of the line passing through these two points.
The slope formula is given as: m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of two points on the line, and m represents the slope of the line.
Given the coordinates of point A as (x1, y1) = (6, 5)
and the coordinates of point B as (x2, y2) = (2, 13),
we can substitute these values into the slope formula: m = (13 - 5) / (2 - 6)
Simplifying the numerator and denominator:m = 8 / -4
Reducing the fraction: m = -2
So, the slope of the line passing from points A(6, 5) and B(2, 13) is -2. This means that for every 1 unit increased in the x-coordinate, the y-coordinate is decreased by 2 units, indicating the steepness or slant of the line.
What are the Different Methods For Calculating Slope?
Maths class 8 includes calculating the slope of a line in its syllabus. Hence, while preparing for maths class 8 exams or CBSE class 8 maths, familiarise yourself with the different methods to calculate the slope of a line as follows:
Rise over run method: This method involves calculating the vertical distance between two points (rise) and the horizontal distance between the same two points (run) and then dividing the rise by the run.
Slope formula method: This method involves using the slope formula, which is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
Graphical method: This method involves graphing the line and using the rise over run method to calculate the slope.
Cuemath's online lessons for 8th class maths to understand the slope formula included in math class 8 syllabus covers all these methods and provide step-by-step guidance to make it easy for students to understand and apply them for scoring high marks in cbse class 8 maths exams with ease!
Online classes have revolutionised education by providing uninterrupted learning during the trying times of pandemic. With interactive tools and the ability to learn from the comfort of home at their own pace, students of math class 8 can stay focused and enjoy learning, especially in demanding subjects like math. Math class 8 syllabus includes crucial concepts like the slope formula, which is widely used in real-world applications.
Cuemath's online classes offer comprehensive lessons on the slope formula and other methods to calculate slope, making it easy for students to understand them. Cuemath’s online lessons, in addition to the interactive resources, can help math class 8 students to excel in their course and improve their maths skills. Make Cuemath your study buddy today!
Frequently Asked Questions(FAQs)
What is the formula for calculating slope?
The formula for calculating slope is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. The slope is represented mathematically as m = (y2 - y1) / (x2 - x1). In this formula, y2 - y1 represents the vertical change or rise, while x2 - x1 represents the horizontal change or run. To find the slope of a line, you need to identify two points on the line and plug their coordinates into the formula.
What is the slope formula used for?
The slope formula is used to calculate the steepness of a line and determine how much it's inclined. It is used to find the ratio of the change in the y-axis to the change in the x-axis between two points on a line. The slope formula is an essential tool in geometry, algebra, and calculus, and is used to plot points on a line, including lines that define the shape of a polygon.
What are real-life applications of the slope formula?
In construction, it is used to determine the roof's pitch, the plumbing pipes' slant, and the stairs' steepness. In sports, slope is experienced when skiing or jogging down a hill. In engineering, slope is used to design roads, bridges, and other structures. In economics, slope is used to show and predict rates of change. In science, slope is used to describe the rate of change of a variable over time. Lastly, in geography, slope is used to describe the steepness of a hill or mountain
What is the importance of learning the slope formula?
Learning the slope formula will help in acing math class 8 exams, as well as help in applying the knowledge of the formula in real-world settings such as in building construction or in the fields of engineering or science.