1. Click the + in the top left corner of the Desmos calculator.

2. Choose table.

3. Enter the values below:

x
y
negative 7
negative 11
4. Right below the table in you calculator, type this: "y" Subscript, 1 , Baseline tilde "m" "x" Subscript, 1 , Baseline plus "b"
y1​~mx1​+b.

(Note: Just type a regular 1 in the calculator after the y and x. The calculator will drop them down automatically).

Desmos has calculated the slope, "m"
m, and the y-intercept, "b"
b. Type them below to check:

Math Input: "m" equals Error: Cannot evaluate expression.
Math Input: "b" equals Error: Cannot evaluate expression.

1 answer

It seems that you're attempting to perform linear regression using a table in the Desmos calculator. Let's go through the steps to ensure you can find the slope \( m \) and the y-intercept \( b \) correctly.

  1. After creating a table in Desmos, make sure to enter your values correctly. You should have:

    | x | y | |-------|--------| | -7 | -11 |

  2. After entering the values, you can type the expression just below the table like this:

    y_1 ~ m x_1 + b
    

    Make sure to use the underscore for subscripts, which will properly indicate \( y_1 \) and \( x_1 \).

  3. Once you've entered that expression, Desmos will automatically compute the slope \( m \) and the y-intercept \( b \).

If you are receiving an error message when trying to evaluate \( m \) and \( b \), ensure that you've entered the data and expression properly, as mentioned above. If everything is correct, here is what you should see:

  • \( m \) will represent the slope of the line that fits through the data points.
  • \( b \) will represent the y-intercept of that line.

Since there is only one point you've provided, the linear regression might not work correctly and could lead to errors since typically two points are needed to define a line accurately. If you only have one point, you may want to add another point to the table.

If you provide more data points, I would be happy to help you further determine the slope and intercept!