Question

what is the correct equation in slope-intercept form?(y = m\
y = 1/3x - 3\
y = 1/3x + 3\
y = -1/3x - 3\
y = -1/3x + 3\
select answer

Explanation:

Step1: Analyze Slope Sign

The line in the graph is decreasing (from left to right), so the slope \( m \) should be negative. This eliminates options with \( m = \frac{1}{3} \) (first two options).

Step2: Analyze Y-Intercept

The line crosses the y - axis at \( (0, 3) \), so the y - intercept \( b = 3 \). The third option has \( b=-3 \), which is incorrect. The fourth option \( y = -\frac{1}{3}x + 3 \) has a negative slope and \( b = 3 \), matching the graph.

Answer:

\( y = -\frac{1}{3}x + 3 \) (the fourth option: \( y = -1/3x + 3 \))