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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

Respuesta :

mai42
To find the slope you do y sub 1 minus y sub 2 over x sub 1 over x sub 2

B is you answer
Ver imagen mai42
igoroleshko156

Answer:

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 = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m = [tex]\frac{42 - 19}{8 -3}[/tex]

m = [tex]\frac{23}{5}[/tex]

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

Answer:  Option B, y = 4.6x + 5.2

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