Let's graph the following system of equations.
y = -2 (Equation 1)
y = 2/5x - 4 (Equation 2)
First, let's determine the coordinates of two points that pass through the graph of Equation 2. These points will serve as our guide as we make its graph.
We get,
y = 2/5x - 4
Point 1: (0, -4)
x = 0
y = 2/5(0) - 4 = -4
Point 2: (10, 0)
y = 0
0 = 2/5x - 4
4 = 2/5x
4 x 5 = 2x
20/2 = x
10 = x
Let's now plot the graph.
Plotting the graph of the two systems of equations, they will be intersecting at (5, -2).