Question

Which of the following functions represents the graph shown?

f(x) = 2x
f(x)=1/2x-4
f(x) = -x+2

Answer 1

The equation of the line in the graph is y = -x + 2

How to find the function graphed

The graphed equation will be written in the form

y = mx + c

where

m = slope

x = intercept

the slope, m is calculated using the points on the graph (0, 2) and (1, 1)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2 - 1) / (0 - 1)

m = (1) / (-1)

m = -1

c = y intercept, from the graph

c = 2

The equation of the line is y = -x + 2