Standard to Slope-Intercept Form Game
To convert from standard form Ax+By=C to slope-intercept form y=mx+b, first isolate the y-term by moving the x-term to the other side of the equation. Then, divide every term by the coefficient of y to solve for y, resulting in the new equation with the slope m and y-intercept b. Scroll down the page for a more detailed explanation.
 
This game is designed to help you master the process of converting linear equations from standard form to slope-intercept form. If you get an answer wrong, it will show you the correct solution. Check out this other Slope-Intercept to Standard Form Game
 

Standard to Slope-Intercept Form

Convert the equation to y = mx + b. Enter m and b as integers or fractions (e.g., -2/3).

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Convert this equation:

Into y = mx + b form:

y = x +

Check Next

Back to Menu

 

How to Play the Standard to Slope-Intercept Game
This game is designed to help you master the process of converting a linear equation from standard form to slope-intercept form.
Here’s how to play:

1. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
2. Look at the Problem: You’ll be given an equation in the form Ax + By = C. Convert the equation to the form y = mx + b.
   
3. Enter Your Answer: Enter in the coefficient for x and the constant. Remember to enter the negative symbol for negative numbers.
   
4. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
5. Get a New Problem: Click the Next button for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
   
6. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to convert from Standard to Slope-Intercept form
The goal is to rearrange the Standard Form equation Ax + By = C into the Slope-Intercept Form y = mx + b by isolating the y variable.
 
Step-by-Step Guide
Here are the three primary steps to convert any linear equation from Standard Form Ax + By = C to Slope-Intercept Form y = mx + b.
Step 1: Subtract the x-Term (Ax) from Both Sides
The first objective is to isolate the term containing y (By). You do this by moving the x-term to the right side of the equation.
Action: Subtract the entire Ax term from both sides of the equation.
Result: The y-term is now isolated on the left. The right side contains the $x$-term and the constant term, but they are generally not combined.
 
Step 2: Divide Every Term by the Coefficient of y (B)
The final goal is to get a single y on the left side. To do this, you must divide the entire equation by the number directly attached to y (the coefficient B).
Action: Divide the y term, the x term, and the constant term C by B.
 
Step 3: Simplify to y = mx + b
Perform the division and simplification for both terms on the right side. This reveals the slope (m) and the y-intercept b.
Action: Perform the division and simplify any resulting fractions or integers.
Result: The equation is now in y = mx + b form.
 

The video gives a clear, step-by-step approach to converting from standard form to slope-intercept form.

• Show Video

 

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