Question

Which equations and/or functions represent the graphed line? Select three options.

f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2x+1
y-3=1/2(x-2)
y-1=1/2(x+2)

Answer 1

The equations that represent the graphed line are f(x) = 1/2x + 2, f(x) = 1/2x + 1, and y - 1 = 1/2(x + 2).

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept. In the given options, the equations that represent the graphed line are:

1. f(x) = 1/2x + 2
2. f(x) = 1/2x + 1
3. y - 1 = 1/2(x + 2)

These equations have the same slope and y-intercept as the graphed line.

Answer 2

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

Step-by-step explanation: