same slope??
y=-3x+7
y=3x+33
and what type equation?
dependent consistant?
independent?
inconsistant?
To determine if two lines have the same slope, we need to compare the coefficients of the x term in both equations.
The equation y = -3x + 7 has a slope of -3.
The equation y = 3x + 33 has a slope of 3.
Since the slopes are different (-3 and 3), the lines do not have the same slope.
To determine the type of solution, we need to look at the slopes and y-intercepts of the two lines:
If two lines have the same slope and the same y-intercept, they are dependent and consistent equations. They represent the same line and have infinitely many solutions.
If two lines have the same slope but different y-intercepts, they are independent and consistent equations. They represent parallel lines and have no solution.
If two lines have different slopes, they are independent and consistent equations. They represent intersecting lines and have a unique solution.
In this case, the lines y = -3x + 7 and y = 3x + 33 have different slopes and different y-intercepts. Therefore, they are independent and consistent equations. They represent intersecting lines and have a unique solution.