Final answer:
The inequality (y - 4/3x + 1) would be represented by a linear inequality graph, which is a shaded area on a graph with the border being a straight line corresponding to the related linear equation. This line would have a negative slope and a y-intercept of +1.
Step-by-step explanation:
The inequality (y - 4/3x + 1) represents a linear inequality graph. Inequalities are typically graphed as shaded areas on a coordinate plane that represent all the solutions to the inequality. The border of this shaded area is a straight line that corresponds to the related linear equation. Given the format of the inequality, this would be a line with a slope of -4/3 and a y-intercept of +1. Visually, this would appear as a line graph, with the slope indicating the angle of the line relative to the x-axis, and the y-intercept showing where the line crosses the y-axis.
To illustrate using examples:
- (a) A line with a positive slope would slope upward to the right.
- (b) A line with a slope of zero would be horizontal.
- (c) A line with a negative slope would slope downward to the right.
Thus, the graph of (y - 4/3x + 1) would be a line graph with a negative slope, and the inequality would be represented by shading one side of this line on a graph.