Quick !
find the equation of the linear function represented by the table below in slope intercept form .

y = - 4x + 1

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 )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (1, - 3) and (x₂, y₂ ) = (2, - 7) ← 2 points from the table

m = = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, - 3), then

- 3 = - 4 + c ⇒ c = - 3 + 4 = 1

y = - 4x + 1 ← equation in slope- intercept form

the answer would be c:   ax + b = ax + c

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!