Q. Graph the inequality on the axes below.y≥−45x−5
Find y-intercept: Find the y-intercept of the line y=−45x−5.Set x=0, then y=−5.Plot the point (0,−5) on the y-axis.
Calculate slope and plot points: Find the slope of the line.The slope is −45, which means for every 4 units you go right, you go down 5 units.From the y-intercept (0,−5), move 4 units to the right and 5 units down to find another point.Plot this point and draw the line through the two points.
Shade area above line: Since the inequality is y≥−(45)x−5, shade the area above the line.This represents all the points where y is greater than or equal to −(45)x−5.