Question

which equation represents the graph function?

Answer 1

Answer:

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

Step-by-step explanation:

First, notice that since the graph of the function is a line, we have a linear function.

To find the equations for linear functions, we need the slope and the y-intercept. Recall the slope-intercept form:

$y=mx+b$

Where m is the slope and b is the y-intercept.

We are given the point (0,3) which is the y-intercept. Thus, b = 3.

To find the slope, we can use the slope formula:

$\displaystyle m=\frac{\Delta y}{\Delta x} =\frac{2-3}{3-0}=-1/3$

Therefore, our equation is:

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