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Graphing Linear Inequalities in the Plane
Consider the set
• Is (0; 0) in S? How can you tell?
• Is (2; 3) in S? How can you tell?
• Is (4; 12) in S? How can you tell?
• Name a point in S with negative x coordinate._________
• Name a point in S with integer coordinates (other than the one above).___________
• On the grid, plot all 5 points listed above, using • for points in S and × for
points
not in S. Make sure to choose a scale for your graph so that all of the points
above
fit on the diagram.
Now you will graph S on the same graph that you plotted the points.
• Write the equation for the line that will be the boundary of the set S.
• Put the line in slope  intercept form . (This involves solving for y.)
What is the slope ?___________
What is the y intercept ?___________
• Find the x intercept of the line . (This involves substituting y = 0 into the
formula
for your line , and solving for x . Do you know why that gets you the xintercept?
)
• Graph the line .
• Shade S.
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