Write an equation for the line shown on the right.

The equation is y = 1/3x + 4

Step-by-step explanation:

y=1/3x+4

Step-by-step explanation:

slope = rise over run + y intercept
first point (1,4)
second point (3,5)
rise=1
run=3
y intercept=4

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0