Question

which equation represents the gr
(0, 3)
(3, 2)
-5 -4 -3 -2 -1 0 1 2 3 4 5 x
-5
-4
-3
-2
-1
1
2
3
4
5
y
○ ( y = -3x + 3 )
○ ( y = 3x - 3 )
○ ( y = 3x - \frac{1}{3} )
○ ( y = -\frac{1}{3}x + 3 )

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 3)$, so $b=3$.

Step2: Calculate slope m

Use points $(0,3)$ and $(3,2)$:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{3-0}=-\frac{1}{3}$$

Step3: Write slope-intercept form

Substitute $m=-\frac{1}{3}$ and $b=3$ into $y=mx+b$:
$$y=-\frac{1}{3}x+3$$

Answer:

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