Question

Which equation represents the graphed function?

y=-3x + 3
0 y = 3x-3
© y= 3x - 1
y=-3x+3

Answer 1

`y=(-1)/(3) x+3`

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 =(y_2-y_1)/(x_2-x_1) =(2-3)/(3-0) =(-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=(-1)/(3) x+3`

Answer 2

y = -1/3x +3

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