Try not to NOT watch this…
Too good.
So yeah, picture this: You’re staring at a graph of two lines crossing at a single point. The SAT question asks you to figure out which pair of equations matches these lines. Seems tricky, right? Not really! The secret weapon? The coordinates of the intersection point. Plug those coordinates into the equations, and the correct ones will practically reveal themselves.
Even if test anxiety or SAT anxiety tries to make this seem overwhelming, you’ll see how simple it is once we break it down. Let’s get started!
What Are Intersecting Lines?
When two lines cross on a graph, they meet at a point called the intersection point. This point has an (x,y) coordinate that satisfies the equations of both lines. That means if you substitute these coordinates into the correct equations, both equations will hold true.
Here’s the plan:
- Identify the intersection point from the graph.
- Plug the coordinates into the equations given in the answer choices.
- The correct equations will make the math true.
The Step-by-Step Method
Step 1: Find the Intersection Point
Look at the graph and note the coordinates where the two lines cross. For example, if the lines meet at (1,3) that’s your intersection point.
Step 2: Plug the Coordinates into the Equations
Take the x- and y-values of the intersection point and substitute them into the equations provided in the answer choices.
Step 3: Check Each Equation
If the math checks out (both sides of the equation are equal), it’s correct. If not, cross that equation off your list.
Example Problem
Question: The graph below shows two intersecting lines. The point of intersection is (1,3). Which of the following pairs of equations represents the lines?
Step 1: Identify the Intersection Point…
From the graph, the intersection point is (1,3).
Step 2: Plug into Each Pair of Equations (and Step 3, Check each Equation)…
Final Answer: Option 1
By plugging in the intersection point and verifying each equation, we can confidently say that Option 1 is the correct answer.
This approach ensures that only Option 1 works perfectly!
Test Anxiety Tip: Focus on the Process
When facing these problems, remember:
- Locate the intersection point.
- Substitute the point into the equations.
- Eliminate any equations that don’t work.
This step-by-step approach simplifies the problem and helps you stay calm.
Final Thoughts
Figuring out which equations match the lines is all about using the intersection point as your guide. With a little practice, these problems will feel like second nature.
For more tips, tricks, and strategies to conquer SAT math, keep checking back on this blog. You’ve got this—good luck!