Answer:
2x + 3y ≤ 15
To draw the graph follow the steps
1. Consider the function: 2x + 3y = 15
2. Find the y-intercept, the value of y, when x = 0:
x = 0 ⇒ 2*0 + 3y = 15 ⇒ 3y = 15 ⇒ y = 5
The point is (0, 5)
3. Find the x-intercept, the value of x, when y = 0:
y = 0 ⇒ 2x + 3*0 = 15 ⇒ 2x = 15 ⇒ x = 7.5
The point is (7.5, 0)
4. Note the inequality symbol ≤, which means less or equal, which includes all the points of the line. It means we draw a solid line connecting the points we have identified above.
5. Now, ignore all the numbers and only consider the sign of y and the inequality:
y ≤ k, is the simplest form
This tells we should make the region below the line shaded, which is the solution of the given inequality.
Step-by-step explanation: