Question

Which equation represents the graphed function?

Answer 1

Hello !

Answer:

`\Large \boxed{\sf y=-(1)/(3)x+3 }`

Explanation:

The slope-intercept form of a line equation is
`\sf y=mx+b` where m is the slope and b is the y-intercept.

The slope of the line ( with
`\sf A(x_A,y_A)` and
`\sf B(x_B,y_B)` ) is given by
`\sf m=(y_B-y_A)/(x_B-x_A)` .

Given :

• A(0,3)
• B(3,2)

Let's calculate the slope :

`\sf m=(2-3)/(3-0) \\\boxed{\sf m=-(1)/(3) }`

The y-intercept is the value of y when x = 0.

According to the graph,
`\boxed{\sf b=3}`.

Let's replace m and b with their values in the formula :

`\boxed{\sf y=-(1)/(3)x+3 }`

Have a nice day ;)

Answer 2

The equation that represents the graphed function is:

y = -1/3x + 3

In this graphed function, 3 represents the y-intercept (or the point where the line crosses the y-axis). -1/3 is a representative of the slope (or the linear pattern in which the line moves). The equation is written in slope-intercept form, which is shown by:

y = mx + b

where m represents the slope, and b represents the y-intercept.

Given the points (0,3) and (3,2), we can find the slope first:

2 - 3 = -1
3 - 0 = 3
m = -1/3

Now, we simply look for the point where the line crosses the y-axis (in this case, 3).

Hence, our equation is: y = -1/3x + 3