Find the equation of the linear function represented by the table below in slope-intercept form.

y = - 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (2, - 10) ← 2 ordered pairs from the table

m = = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (2, - 10) , then

- 10 = - 6 + c ⇒ c = - 10 + 6 = - 4

y = - 3x - 4 ← equation of linear function

b

step-by-step explanation:

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