Final answer:
To graph the linear equation -4y=-5x-18, we first solve for y. Then, we find three ordered points that satisfy the equation and plot them on a graph.
Step-by-step explanation:
To graph the linear equation -4y=-5x-18, we need to first solve for y in terms of x. Divide both sides of the equation by -4 to get y = (5/4)x + 18/4. Now we can find three ordered points that satisfy this equation and plot them on a graph.
Let's choose x = 0 to find y. Plugging x = 0 into the equation, we get y = (5/4)(0) + 18/4 = 18/4 = 4.5. So, the first point is (0, 4.5).
Similarly, let's choose two more values for x and find their corresponding y-values. Let's take x = 2, then y = (5/4)(2) + 18/4 = 5/2 + 4.5 = 5/2 + 9/2 = 14/2 = 7. So, the second point is (2, 7).
Taking x = -2, we get y = (5/4)(-2) + 18/4 = -5/2 + 4.5 = -10/2 + 9/2 = -1/2. So, the third point is (-2, -1/2).
We can now plot these points on a graph and draw a line through them to represent the given equation.