Interpreting a graph to make predictions about linear functions is much like reading a story about numbers. Here’s how I usually approach it:
Check the Axes: Start by looking at the x-axis (the bottom line) and the y-axis (the side line). Think about what they represent. For example, they might show time and distance.
Understand the Slope: The steepness of the line tells you how fast things are changing. A steeper line means a quicker change. You can find the slope by using this formula:
Look for Patterns: If the line is straight, that means it’s a linear function. You can use points on the line to guess future values. For example, if the line goes through the points (2, 4) and (4, 8), you can predict that when x is 6, y will be about 12.
Using the Equation: Once you understand how the line works, you can write it as an equation:
So, the next time you look at a graph, keep an eye out for these clues, and you’ll be able to figure out what might happen next!
Interpreting a graph to make predictions about linear functions is much like reading a story about numbers. Here’s how I usually approach it:
Check the Axes: Start by looking at the x-axis (the bottom line) and the y-axis (the side line). Think about what they represent. For example, they might show time and distance.
Understand the Slope: The steepness of the line tells you how fast things are changing. A steeper line means a quicker change. You can find the slope by using this formula:
Look for Patterns: If the line is straight, that means it’s a linear function. You can use points on the line to guess future values. For example, if the line goes through the points (2, 4) and (4, 8), you can predict that when x is 6, y will be about 12.
Using the Equation: Once you understand how the line works, you can write it as an equation:
So, the next time you look at a graph, keep an eye out for these clues, and you’ll be able to figure out what might happen next!