4. Write the equation of line that is perpendicular to y= -1/3x + 7 and has a y intercept of -1. 1

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = -1/3x + 7   ⇒   m₁=-1/3

-1/3×m₂ = -1        ⇒    m₂ = 3

The y-intercept is b=-1 so the equation in  slope-intercept form:

                                                y = 3x - 1

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: