Question

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.

Explanation:

Step1: Identify the two points

The two orange points are \((0, 50)\) and \((80, 90)\).

Step2: Calculate the slope (\(m\))

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the points: \(m=\frac{90 - 50}{80 - 0}=\frac{40}{80}=\frac{1}{2}\).

Step3: Determine the y - intercept (\(b\))

The y - intercept is the value of \(y\) when \(x = 0\). From the point \((0, 50)\), \(b = 50\).

Step4: Write the equation in slope - intercept form (\(y=mx + b\))

Substitute \(m=\frac{1}{2}\) and \(b = 50\) into the formula: \(y=\frac{1}{2}x+50\).

Answer:

\(y=\frac{1}{2}x + 50\)