x + 3y < or equal to -3

Question

graph each linear equation

Answer 1

x + 3y ≤ -3

3y ≤ -x - 3

y ≤ -(1/3)x - 1

Graph the line y = (-1/3)x - 1. It has a slope of -1/3 and crosses the y-axis at y = -1. Because we have a "less than or equal to", use a solid line for the graph of the line. Shade in the region below the line. The line itself is the "equal to" part, the shaded region below the line is the "less than" part.