Draw the graph of $4 x< -16 y$

Use the graphing tools to graph the inequality.

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Answer

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Answer

The graph represents the solution to the inequality $4x < -16y$

Steps

Step 1 ：First, rewrite the inequality as $y > -\frac{1}{4}x$

Step 2 ：Now, we need to graph the line $y = -\frac{1}{4}x$

Step 3 ：The line passes through the origin (0,0) and has a slope of -\frac{1}{4}

Step 4 ：To find another point on the line, we can use the slope: from the origin, move 4 units to the right and 1 unit down to reach the point (4,-1)

Step 5 ：Draw the line through the points (0,0) and (4,-1)

Step 6 ：Since the inequality is $y > -\frac{1}{4}x$, we shade the region above the line

Step 7 ：The graph represents the solution to the inequality $4x < -16y$