Write the equation of the line that passes through the points (1, 7) and (5, 15) using function notation. a) y = 2x + 5 b) y = 4x + 8 c) f(x) = 2x + 5 d) f(x) = 4x + 8

c) f(x) = 2x + 5

Step-by-step explanation:

slope  = (y2-y1)/ (x2-x1)

 m = (15-7)/(5-1)

  m = 8/4

m=2

point slope form for an equation is

y-y1 = m(x-x1)

y-7 = 2 (x-1)

distribute

y-7 = 2x-2

add 7 to each side

y-7+7 = 2x-2+7

y = 2x +5

it asks for the equation in function notation

f(x) = 2x+5

the perimeter is increased by a factor of 2

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: