How do you graph #5y

Question

How do you graph #5y<=-x-20#?

Isaiah Anthony · Accepted Answer

Graph and solve #5y <= - x - 20# Put the inequality in standard form: #5y + x + 20 <= 0# (1). First, graph the Line --> 5y + x + 20 = 0 by its 2 intercepts. Make x = 0 --> y = -4. Make y = 0 --> x = -20. Next, solve the inequality (1). The solution set is the area below the Line. Color it. Since there is the sign (=), the Line is included in the solution set. graph{5y + x + 20 = 0 [-20, 20, -10, 10]} Note. You can check the answer by using the origin O as test point. Substitute x = 0 and y = 0 into (1), we get #20 <= 0.# It is untrue. Then the solution set area doesn't contain O.

Genesis Allen · Answer

undefined To graph the inequality $5y \leq -x - 20$, follow these steps:

1. Begin by graphing the line $y = -\frac{1}{5}x - 4$ (the equality obtained by removing the inequality symbol and treating it as an equation).
2. Since the inequality includes $5y$, which means we want $5y$ to be less than or equal to $-x - 20$, we shade the region below the line.
3. To determine which side to shade, pick a test point not on the line, like (0,0), and substitute it into the inequality.
4. If the inequality holds true for the test point, shade the region it lies in. If it doesn't, shade the other region.
5. In this case, substituting (0,0) into the inequality gives $5(0) \leq -0 - 20$, which simplifies to $0 \leq -20$, which is true.
6. So, shade the region below the line.

The graph will consist of the line $y = -\frac{1}{5}x - 4$ and the shaded region below it.

How do you graph #5y&lt;=-x-20#?

How do you graph #5y<=-x-20#?