What is the equation of the trend line in the scatter plot?
Use the two orange points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.
What is the equation of the trend line in the scatter plot? Use the two orange points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form
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To find the equation of the trend line in slope-intercept form (y = mx + b) using two points from a scatter plot, follow these steps:
1. Identify the points: Let’s assume the two orange points are (x₁, y₁) and (x₂, y₂).
2. Calculate the slope (m): Use the formula:
[
m = frac{y₂ – y₁}{x₂ – x₁}
]
Plug in the coordinates of the points to find the slope.
3. Use one point to solve for the y-intercept (b): Once you have the slope, pick one of the points (let’s say (x₁, y₁)) and substitute it into the equation:
[
y₁ = mx₁ + b
]
Rearranging it gives:
[
b = y₁ – mx₁
]
4. Write the equation: Now, substitute m (the slope) and b (the y-intercept) back into the slope-intercept form to get the final equation of the trend line.
If you can provide the specific coordinates of the two points, I can help you calculate the exact equation!