Question

1. the graph shows a linear function. which equation best represents the line? y = \frac{3}{2}x - 1 y = -\frac{2}{3}x + 1 y = \frac{2}{3}x - 1 y = -\frac{3}{2}x + 1

Explanation:

Step1: Find y-intercept (b)

Line crosses y-axis at (0,1), so \( b=1 \).

Step2: Calculate slope (m)

Use points (0,1) and (3,-1). Slope \( m=\frac{-1-1}{3-0}=\frac{-2}{3} \).

Step3: Match equation

Equation: \( y=-\frac{2}{3}x+1 \).

Answer:

B. \( y=-\frac{2}{3}x + 1 \)