Final answer:
To write the equation of a line using a calculator, first identify the slope (3) and y-intercept (9) from the given data, then use the slope-intercept form y = mx + b to construct the equation, resulting in y = 3x + 9. For raw data, use your calculator's linear regression feature to find m and b, then round as needed.
Step-by-step explanation:
How to Write the Equation of a Line in Slope-Intercept Form Using a Calculator
To write the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, you can use the following steps:
- Identify the slope (m) of the line. In the given example, the slope is 3.
- Identify the y-intercept (b) of the line. In the example, the y-intercept is 9.
- Enter these values into the slope-intercept formula to get the equation of the line. Therefore, the equation is y = 3x + 9.
- If you have raw data points and need to find the line of best fit, you can use the linear regression feature on a calculator. This will compute the slope and y-intercept for you. Enter the data points, run the linear regression analysis, and note the values of m and b provided.
- Round the results to four decimal places, if necessary, to obtain the fully simplified slope-intercept form of the line.
Rounding to four decimal places may be needed depending on your data's precision or the instructions provided for your assignment.