Slope-Point Equation Game
To find the linear equation from the slope m and a point (x,y), substitute the given slope and the point’s coordinates into the formula, y=mx+b to get the value of b. Scroll down the page for a more detailed explanation.
 
This game is designed to help you master the process to determine a linear equation from the slope of the line and a point on the line. If you get an answer wrong, it will show you the correct solution.
 

Slope-Point to Equation

Given a slope and a point, find the linear equation in slope-intercept form (y = mx + b).

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Given the following:

Slope (m) =

Point (x, y) =

Find the equation (y = mx + b):

y = x + -

Check Next

Back to Menu

 

How to Play the Slope-Point Equation Game
This game is designed to help you master the process of determining a linear equation from the slope of the line and a point on the line.
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 slope and a point on a line. Find the equation of the line
   
3. Enter Your Answer: Enter in the values for m and b.
   
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 linear equation from the slope and a point
Method 1: Using the slope-intercept form

1. Identify the slope (m) and the point (x,y).
   
2. Substitute the slope (m) into the slope-intercept form: y=mx+b. The equation is now y=mx+b, where b is still unknown.
   
3. Plug in the coordinates of the given point: for x and y to solve for the y-intercept (b).
   
4. Solve the equation for b.
    
   Method 2: Using the point-slope form
   
5. Identify the slope (m) and the point (x₁,y₁).
   
6. Substitute these values into the point-slope formula: y-y₁=m(x-x₁).
   
7. Simplify the equation: by distributing the slope and isolating the y term to get the final equation.
    
   

The video gives a clear, step-by-step approach to find the linear equation from the slope and a point.

• Show Video

 

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