Answer:
The bottom right graph is correct, with the y-intercept at -3 and the graph shaded to the right.
Step-by-step explanation:
The inequality of y < 4x - 3 is written in slope-intercept form (y = mx + b), where m = slope and b = y-intercept. The difference between a linear equation and linear inequality is that an equation only produces one answer while an inequality and can have several answers. Because the y-intercept = -3, the graph should cross the y-axis at -3, which it does for all the given graphs. However, the slope is 4, which means that the change in 'y' over the change in 'x' is 4/1 - up four units and to the right one unit. This would give us the choice of the bottom to graphs.
Since the inequality is y < 4x - 3, then all answers must be less than the total value of the expression, which means we shade to the right of the line.
