Question

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. y=-2/3x

Explanation:

Step1: Find the slope (m)

The two blue - points are (0, 7) and (9, 1). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1 = 0,y_1 = 7,x_2=9,y_2 = 1$ into the formula: $m=\frac{1 - 7}{9 - 0}=\frac{-6}{9}=-\frac{2}{3}$.

Step2: Find the y - intercept (b)

The y - intercept is the y - value when $x = 0$. From the point (0, 7), we can see that $b = 7$.

Step3: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substitute $m =-\frac{2}{3}$ and $b = 7$ into the equation: $y=-\frac{2}{3}x+7$.

Answer:

$y =-\frac{2}{3}x + 7$