Parallel Equations Game (Slope-Intercept)
To find the equation of a line parallel to a given line and passing through a specific point, first identify the slope (m) from the given slope-intercept equation (y=mx+b). Since parallel lines have the same slope, use this slope for your new equation. Then, substitute the coordinates of the given point into the slope-intercept form to solve for the new y-intercept (b), and finally, write the new equation using the original slope and the calculated y-intercept. Scroll down the page for a more detailed explanation.
 
This game is designed to help you master the process to determine the equation of a line parallel to a given line and passing through a specific point. The given equation is in slope-intercept form. If you get an answer wrong, it will show you the correct solution.
 

Equation of a Parallel Line (Slope-Intercept)
Equation of a Parallel Line (Standard Form)

 

Parallel Line Equations

Find the equation of a line that is parallel to the given line and passes through the given point.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Find the equation of a line parallel to:

and passing through the point:

Enter your equation (y = mx + b):

y = x +

Check Next

Back to Menu

 

How to Play the Parallel Equations Game (Slope-Intercept)
This game is designed to help you master the process to determine the equation of a line parallel to a given line and passing through a specific point. The given equation is in 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 the equation of a line in slope-intercept form and a point. Find the equation of the line parallel to the given line and passing through the given point.
   
3. Enter Your Answer: Enter in the values for m and b. (Include the negative sign when needed)
   
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 find the equation of a parallel line

1. Find the slope (m):
   Identify the slope from the original line’s equation, which is the coefficient of x in the form y=mx+b.
   
2. Use the same slope for the new line:
   The new line will have the exact same slope since parallel lines have equal slopes.
   
3. Substitute the point’s coordinates:
   Plug the given x and y values from the point into the slope-intercept equation (y=mx+b).
   
4. Solve for the y-intercept (b):
   Calculate the value of b using the slope you found and the coordinates you substituted.
   
5. Write the final equation:
   Use the slope (m) from step 2 and the new y-intercept (b) from step 4 to write the final equation in slope-intercept form (y=mx+b).
    
   

The video gives a clear, step-by-step approach to find the equation of a line parallel to a given line passing through a given point.

• Show Video

 

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