Final answer:
The equation of the line with a negative slope of -2 and y-intercept of 50 is y = -2x + 50. The line gradually decreases as x increases.
Step-by-step explanation:
A line with a negative slope has the equation: y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope (m) is -2. So, the equation of the line is y = -2x + b. Since the y-intercept is given as 50, we can substitute it into the equation to get: y = -2x + 50.
To illustrate the graph, we can plot a few points. For example, when x = 0, y = -2(0) + 50 = 50. This gives us the point (0, 50). When x = 1, y = -2(1) + 50 = 48. This gives us the point (1, 48). Connect these points on a graph to form a line that gradually decreases as x increases.