Which graph represents the solution to the given system?
y = -5x- 2
y + 2 = -5x
The two equations can be rewritten as:
y = -5x - 2 (Equation 1)
y + 2 = -5x (Equation 2)
To find the solution to the system, we can graph the two equations and see where they intersect.
Graph of Equation 1:
Plot the y-intercept at -2 and use the slope of -5 to determine other points on the line. The line will slope downward to the right.
Graph of Equation 2:
To rewrite Equation 2 in slope-intercept form, we subtract 2 from both sides: y = -5x - 2. This equation is the same as Equation 1. Therefore, the two equations represent the same line.
The graph of the system will have infinitely many solutions, as the two equations are essentially the same line.
Graph representation:
The correct graph would show a single line with a slope of -5 and a y-intercept of -2.