Question

1. $y = -\frac{4}{3}x + 1$

Explanation:

Since the problem just presents the linear equation \( y = -\frac{4}{3}x + 1 \) without a specific question (like finding slope, intercept, graphing, or solving for a variable), it's incomplete. If we assume a common question like "Find the slope and y - intercept of the line \( y=-\frac{4}{3}x + 1 \)":

Step1: Recall the slope - intercept form

The slope - intercept form of a linear equation is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept.

Step2: Identify \( m \) and \( b \)

For the equation \( y = -\frac{4}{3}x+1 \), comparing with \( y = mx + b \), we have \( m=-\frac{4}{3} \) (the slope) and \( b = 1 \) (the y - intercept).

Answer:

Slope \( m=-\frac{4}{3} \), y - intercept \( b = 1 \)

If the intended question is different (e.g., find x - intercept, graph the line, solve for x when y = 0, etc.), please provide more details.