Graphs can really help Year 12 students with everyday math problems. Here’s why they are so useful:

1. Visual Understanding:
   Graphs make tricky ideas easier to understand.
   For example, when you look at a line on a graph, like in the equation $y = mx + b$, you can see how changing $m$ and $b$ affects the line's slope and where it crosses the y-axis.
   This is much clearer than just dealing with numbers and letters in equations.

2. Interpreting Data:
   In real life, we often deal with data that can be shown on graphs.
   For instance, if you track your money, you can plot income and spending on a graph.
   This helps you see where your money goes and where you can save.

3. Problem-Solving Strategies:
   When solving problems, like trying to get the best profit or lowest cost, graphs can show important points.
   Techniques like finding where two lines meet (like demand and supply) can lead to solid solutions.

4. Predictive Analysis:
   By looking at patterns in graphs, students can guess what might happen next.
   For example, if a graph shows the path of a thrown ball, students can estimate how high it will go.

Using graphs really helps boost understanding of math and can be applied in real life!