Based on the scatter plot, which equation represents the line best fit for the data about cups of beads?

Option B. y = 1.81x + 44.36

Step-by-step explanation:

The graph represents a scatter plot with a positive correlations and has a positive y-intercept.

By drawing the best line to fit the data the y-intercept will be approximately at the midpoint of 45 and 50

We will check which option is true:

A. y = 4.25 x

The equation of option A represents a line pass through the point (0,0)

Which mean y-intercept is 0 and this is wrong.

B. y = 1.81x + 44.36

According to the best line to fit the data option B is true.

Also by substitution with x = 2

y = 1.81 * 2 +44.36 = 47.98  

which is near to the actual point on the graph (50)

C. y = 1.81 x  ⇒ Wrong ⇒ same explanation of option A

D. y = 4.25 x + 50  ⇒ Wrong

Because the y-intercept will be approximately at the midpoint of 45 and 50

So, The answer is option B. y = 1.81x + 44.36

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17