Graph 5x-y<4

Problem

5*x−y<4

Solution

1. Rewrite the inequality in slope-intercept form by isolating y

5*x−y<4

−y<−5*x+4

2. Multiply by −1 and reverse the inequality sign.

y>5*x−4

3. Identify the boundary line by treating the inequality as an equation.

y=5*x−4

4. Determine the line style. Since the inequality is strictly greater than (>, the boundary line is dashed.

5. Find the intercepts to plot the line. When x=0 y=−4 When y=0 x=4/5

6. Test a point not on the line, such as (0,0) to determine the shading region.

0>5*(0)−4

0>−4

7. Shade the region. Since the test point (0,0) makes the inequality true, shade the region above the dashed line.

Final Answer

y>5*x−4

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