Questions: What is the equation of the trend line in the scatter plot? Use the two yellow points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.

Solution Steps

The two yellow points on the line are \((3, 2)\) and \((6, 7)\).

The slope, \(m\), is calculated using the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\) Using the points \((3, 2)\) and \((6, 7)\): \(m = \frac{7 - 2}{6 - 3} = \frac{5}{3}\)

We can use the point-slope form of a linear equation, \(y - y_1 = m(x - x_1)\), and one of the points to find the y-intercept. Let's use \((3, 2)\) and the slope \(m = \frac{5}{3}\): \(y - 2 = \frac{5}{3}(x - 3)\) \(y - 2 = \frac{5}{3}x - 5\) \(y = \frac{5}{3}x - 5 + 2\) \(y = \frac{5}{3}x - 3\)

Final Answer The equation of the trend line is