Write a linear function for the data in the table.
The linear function for the data in the table is __. (Type an equation using x and y as the variables. Type your answer in slope-intercept form. Use integers or decimals for any numbers in the equation.)
To write a linear function from a table of data, you typically need two pieces of information: a slope (m) and a y-intercept (b), which together form the slope-intercept form of a linear equation, y = mx + b.
Here’s how to find the linear function step-by-step:
1. Determine the Points: Identify at least two points from the table, which should be in the format (x, y).
2. Calculate the Slope (m): Use the formula:
[
m = frac{y_2 – y_1}{x_2 – x_1}
]
where (x₁, y₁) and (x₂, y₂) are the two points you picked.
3. Find the Y-Intercept (b): Once you have the slope, use one of the points to solve for b in the equation y = mx + b.
4. Write the Equation: Substitute the values of m and b into the slope-intercept form.
Once you apply these steps to the specific data in your table, you can give your final linear function equation.
If you provide the data from the table, I’d be more than happy to help you derive the linear function!