Andymath.com features free videos, notes, and practice problems with answers! Printable pages make math easy. Are you ready to be a mathmagician?
Notes
Problems
Find the net change between these 2 points.
\(\textbf{1)}\) \( (3,4) \) and \( (8,16) \)Show Answer
Show Work
Show Answer
Show Work
\(\textbf{2)}\) \( (1,-3) \) and \( (4,6) \)Show Answer
Show Work
Show Answer
Show Work
\(\textbf{3)}\) \( (-2,-2) \) and \( (8,8) \)Show Answer
Show Work
Show Answer
Show Work
\(\textbf{4)}\) \( (4,7) \) and \( (8,12) \)Show Answer
Show Answer
\(\textbf{5)}\) \( f(x)=3x+2 \) from \( x=1 \) to \( x=4 \)Show Answer
Show Answer
\(\textbf{6)}\) \( f(x)=x^{2}+3 \) from \( x=2 \) to \( x=3 \)Show Answer
Show Work
Show Answer
Show Work
See Related Pages\(\)
\(\bullet\text{ Graphing Linear Equations}\)
\(\,\,\,\,\,\,\,\,2x-3y=6 \)
\(\bullet\text{ Slope Formula}\)
\(\,\,\,\,\,\,\,\,m=\frac{y_2-y_1}{x_2-x_1}\)
\(\bullet\text{ Slope Intercept Form}\)
\(\,\,\,\,\,\,\,\,y=mx+b\)
\(\bullet\text{ Point Slope Form}\)
\(\,\,\,\,\,\,\,\,y-y_1=m(x-x_1)\)
\(\bullet\text{ Parallel and Perpendicular Slope}\)
\(\,\,\,\,\,\,\,\,m_1=m+2,\,\,\,m_1=\frac{1}{m_2}\)
\(\bullet\text{ Distance Between a Point and a Line}\)
\(\,\,\,\,\,\,\,\,(3,4) \text{ and } y=\frac{3}{4}x−2\)
\(\bullet\text{ Finding x- and y- intercepts}\)
\(\,\,\,\,\,\,\,\,y=2x+4\)
In Summary
The net change is the overall difference between the initial value and the final value of a quantity. It is calculated by subtracting the initial value from the final value. The net change is a useful concept in mathematics because it allows us to quickly find the overall change in a quantity without having to calculate the individual changes along the way.
Net change is typically covered in a high school algebra or precalculus class.
Net change has many real-world applications. For example, it can be used to measure the overall change in a stock’s price over time, the overall change in a person’s weight over a period of weeks or months, or the overall change in the temperature of a substance over time.
The concept of net change was first used by the ancient Greek mathematician Archimedes, who used it to measure the overall change in the amount of water displaced by an object.
Net change is closely related to slope. In the numerator of the slope formula you use the net change of your two points.
About Andymath.com
Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at [email protected]. He will promptly add the content.
Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
Visit me on Youtube, Tiktok, Instagram and Facebook. Andymath content has a unique approach to presenting mathematics. The clear explanations, strong visuals mixed with dry humor regularly get millions of views. We are open to collaborations of all types, please contact Andy at [email protected] for all enquiries. To offer financial support, visit my Patreon page. Let’s help students understand the math way of thinking!
Thank you for visiting. How exciting!
