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

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Solution Steps

Step 1: Find the coordinates of the two blue points.

The two blue points on the line are \((2, 0)\) and \((7, 7)\).

Step 2: Calculate the slope.

The slope \(m\) is given by the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\) Using the two points \((2, 0)\) and \((7, 7)\), we have: \(m = \frac{7 - 0}{7 - 2} = \frac{7}{5}\)

Step 3: Use the point-slope form to find the equation.

The point-slope form of a linear equation is given by: \(y - y_1 = m(x - x_1)\) Using the point \((2, 0)\) and the slope \(m = \frac{7}{5}\), we have: \(y - 0 = \frac{7}{5}(x - 2)\) \(y = \frac{7}{5}x - \frac{14}{5}\)

Final Answer

The equation of the trend line is \(y = \frac{7}{5}x - \frac{14}{5}\). \\(\boxed{y = \frac{7}{5}x - \frac{14}{5}}\\)

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