Question

Which equation can be used to represent the graph shown below?

Answer 1

Option D.
`y=-(1)/(2)x+4`

Explanation:

we know that

Looking at the graph

take the points

(0,4) and (2,3)

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values in the formula

`m=(3-4)/(2-0)`

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

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

Find the equation of the line in slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

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

`b=4` ----> the point (0,4) is the y-intercept

substitute

`y=-(1)/(2)x+4`