Two students have examined the scatter plot shown and have created a line of best fit for the data. Student A believes that the line of best fit for the data is y = -2x + 24, while Student B believes that the line of best fit for the data is y = 1.5x + 23. Determine which student created a better line of best fit given the data in the graph. Justify your answer using mathematics.

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b