Slope-Intercept to Standard Form Game
To convert from slope-intercept form y=mx+b to standard form Ax+By=C, move the x term to the left side of the equation, and then multiply the entire equation by the least common denominator to eliminate any fractions. Finally, if the coefficient of the x term A is negative, multiply every term by -1 to make A positive. Scroll down the page for a more detailed explanation.
 
This game is designed to help you master the process of converting linear equations from slope-intercept form to standard form. If you get an answer wrong, it will show you the correct solution. Check out this other Standard Form to Slope-Intercept Game
 

Slope-Intercept to Standard Form

Convert y = mx + b to Ax + By = C. There may be multiple correct answers.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Convert this equation:

Into Ax + By = C form:

x + y =

Check Next

Back to Menu

 

How to Play the Slope-Intercept to Standard Game
This game is designed to help you master the process of converting a linear equation from slope-intercept form to standard 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 y = mx + b. Convert the equation to the form Ax + By = C.
   
3. Enter Your Answer: Enter in the coefficient for x, y, 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 Slope-Intercept to Standard form
The goal is to rearrange the Slope-Intercept Form y = mx + b into the Standard Form equation Ax + By = C.
 
Step 1: Move the xterm
Start with the slope-intercept equation: y=mx+b. Subtract the mx term from both sides to move it to the left, resulting in -mx+y=b. Rewrite the equation with the x term first: -mx+y=b.
 
Step 2: Eliminate fractions If the equation contains fractions, find the least common denominator (LCD) of all the fractions. Multiply every term in the equation by the LCD to clear the fractions.
 
Step 3: Ensure A is positive
Rewrite the equation in the Ax+By=C format. At this point, you will have an equation like -mx+y=b. If the coefficient of x (which is now A) is negative, multiply every term in the equation by -1. This will change the sign of all the terms, making the x coefficient positive, as required for standard form.
 

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

• Show Video

 

Free Algebra Games
Distributive Property	Evaluate Algebraic Expressions	Evaluate Expressions (Exponents)
Simplify Algebraic Expressions	Solve Equations	Systems of Equations
Inequalities on the Number Line	Solve Inequalities	Multiply Binomials (y+b)(y+d)
Multiply Binomials (ay+b)(cy+d)	Factor Trinomials	Solve Quadratic Equations

 

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.