PLEASE ANSWER

Write a linear equation that represents the line that contains the points shown in the table.

A. y = 7x + 1
B. y = x - 7
C. y = 7x + 3
D. y = 2x - 3

A

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 8) and (x₂, y₂ ) = (2, 15) ← 2 ordered pairs from the table

m = = 7, thus

y = 7x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (1, 8 ), then

8 = 7 + c ⇒ c = 8 - 7 = 1

y = 7x + 1 → A

they are simplified

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752