Question

Which equation represents the graphed function?

Answer 1

Answer:

$y=\frac{-1}{3} x+3$

Step-by-step explanation:

Let frame the equation of the line using the points given on the graph

(0,3) and (3,2)

Equation of the line is y=mx+b

where m is the slope and b is the y intercept

To find slope we use formula

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{2-3}{3-0} =\frac{-1}{3}$

Y intercept b is the point where the graph crosses y axis

y intercept b = 3

The equation y=mx+b becomes

$y=\frac{-1}{3} x+3$

Answer 2

Answer:

y = -1/3x +3

Step-by-step explanation:

First we need to find the slope

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

   = (2-3)/(3-0)

   -1/3

Then we know the y intercept( where it crosses the y axis)

It crosses at y=3

The slope intercept form is

y= mx+b  where m is the slope and b is the y intercept

y = -1/3x +3