*Remember, you can also enter this table of numbers in your Desmos calculator to find the slope and y-intercept.

After you enter the table of numbers, in the next entry, enter y1~ mx1+b.

1 answer

It looks like you're working with a set of data points and you want to find the slope (m) and the y-intercept (b) for a linear regression. If you have a table of numbers representing your \( x \) and \( y \) values, you can enter them into the Desmos calculator and perform a linear regression to find the equation of the line in the form \( y = mx + b \).

Here’s a step-by-step guide to help you:

  1. Input Your Data: First, enter your table of numbers in the format:

    (x1, y1)
    (x2, y2)
    (x3, y3)
    ...
    

    This will create a list of points in the calculator.

  2. Enter the Linear Regression: After entering the data points, you'll want to perform the linear regression. You can do this by typing:

    y1 ~ mx1 + b
    

    Desmos will automatically calculate the values of \( m \) (slope) and \( b \) (y-intercept) based on the data you input.

  3. Read the Results: Once you enter the above equation, Desmos will give you the best-fit line through your points, showing you the slope and y-intercept.

If you provide the actual numbers or the table, I could give you a more tailored response or walk you through the calculations!