100 POINTS AND BRAINIEST TO THE BEST CORRCET ANSWER.
A scatter plot of data comparing the humber of years since Holbrook High School introduced a math club and the number of student participating contains the ordered pairs (3,19) and (8, 42). What is the slope-intercept form of an equation for the line of fit containg those two pairs?

A) y = 0.22x - 1.13

B) y = 4.6x + 5.2

C) y = 5.2x + 4.6

D) y = 3x + 1

Option B, y = 4.6x + 5.2

Step-by-step explanation:

Slope-intercept form:  y = mx + b

Step 1:  Use those two points to get slope

m =

m =

m =

m = 4.6

Step 2:  Find the y - intercept

Use point slope formula:  (y - y1) = m(x - x1)

(y - 19) = 4.6(x - 3)

y - 19 + 19 = 4.6x - 13.8 + 19

y  = 4.6x + 5.2

 Option B, y = 4.6x + 5.2

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct