what is the equation of the trend line in the scatter plot? \nuse the two orange points to write the…

Explanation:

Step1: Identify the two orange points

From the scatter plot, the two orange points are ((40, 0)) and ((90, 70)).

Step2: Calculate the slope ((m))

The formula for slope is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(40,0)) and ((x_2,y_2)=(90,70)). Then (m=\frac{70 - 0}{90 - 40}=\frac{70}{50}=\frac{7}{5}).

Step3: Find the y - intercept ((b))

Use the slope - intercept form (y = mx + b) and one of the points, say ((40,0)). Substitute (x = 40), (y = 0) and (m=\frac{7}{5}) into the equation: (0=\frac{7}{5}(40)+b) (0 = 56 + b) Subtract 56 from both sides: (b=- 56).

Step4: Write the equation

The slope - intercept form is (y=mx + b). Substitute (m = \frac{7}{5}) and (b=-56) into the formula: (y=\frac{7}{5}x-56).

Answer:

(y=\frac{7}{5}x - 56)