i need help with linear functions with ways to remeber them easier
A way to remember how to do it, is to do change in y over change in x method. I know this because I did a lesson on linear functions not to long ago.
You can also remember it by using the rise over run method, which is the same thing as the change in y over change in x method.
if something is proportional to something else plus a constant, you can draw a straight line of form
y = m x + b
where m is the slope
and b is that constant that y has when x = 0
Yes, as Brady said
m = slope = change in y / change in x
which is exactly rise/run
thanks!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i have a test tomorrow and both of these will really help
Good luck !
Your welcome Mackenzie. I hope you do good on your test tomorrow!
Sure! Linear functions are a fundamental concept in algebra and can sometimes require a bit of practice to fully grasp. Here are a few strategies to help you remember and understand linear functions more easily:
1. Visualize the Graph: One effective way to understand linear functions is to visualize their graphs. Remember that a linear function represents a straight line on a graph. Visualize different slopes (steepness) and y-intercepts (where the line intersects the y-axis) to get a sense of how the function behaves.
2. Understand the Slope-Intercept Form: The equation of a linear function can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept. Remember that the slope measures the rate of change or steepness of the line, while the y-intercept is the point where the line intersects the y-axis. Try to understand how changes in m and b affect the placement and steepness of the line.
3. Identify Patterns: Look for patterns within linear functions to help you remember them better. For example, when the slope is positive, the line rises from left to right, while a negative slope causes the line to descend. Additionally, knowing that the y-intercept represents the value of y when x equals zero can help you identify key points on the graph.
4. Practice with Real-World Examples: Apply linear functions to real-life scenarios to make them more relatable and memorable. For instance, consider examples that involve concepts like distance vs. time, cost vs. quantity, or growth vs. time. By connecting linear functions to practical situations, you can better understand their meaning and applications.
5. Practice Problem Solving: The more you practice using linear functions to solve equations and word problems, the more comfortable you'll become with them. Try solving a variety of problems involving linear functions, using different techniques like graphing, substitution, or elimination. As you tackle more exercises, you'll strengthen your understanding and develop problem-solving strategies.
Remember, the key to mastering linear functions (and any mathematical concept) is consistent practice and exposure. Keep working on a variety of problems and seek additional resources, such as textbooks, online tutorials, or instructional videos, to reinforce your understanding.