Answer: (See attached image file)
Step-by-step explanation:
- Start by plotting given key features
- Based on the problem, we know that the x-intercept is (0,4)
- We find this by plugging in 0 for y, and solving for x
- (5x = 20)
- (x = 20/5 = 4) (4, 0)
- We can also easily solve for the y-intercept, which is (0,-5)
- We find this by plugging in 0 for x, and solving for y
- (-4y = 20)
- (y = -5) (0, -5)
- Since we know that the equation is linear, seeing as the highest exponent is 1, we know that these two points have to be connected by a single, straight line.
- Finally, we shade in the side to the LEFT of the line. This is because the equation asks for LESS THAN.
- If however the question had been 5x-4y>20, we would shade in the region to the right.
