I need to know if the following are independent dependent or inconsistent,
y=-3x+19
y=2x-1
y=-4x-7
y=3x
To determine if two equations are independent, dependent, or inconsistent, you need to compare their slopes and y-intercepts.
Let's analyze the first set of equations:
Equation 1: y = -3x + 19
Equation 2: y = 2x - 1
Comparing the slopes:
The slope of Equation 1 is -3.
The slope of Equation 2 is 2.
Since the slopes are not the same, these equations represent independent lines.
Now, let's analyze the second set of equations:
Equation 1: y = -4x - 7
Equation 2: y = 3x
Comparing the slopes:
The slope of Equation 1 is -4.
The slope of Equation 2 is 3.
Again, since the slopes are not the same, these equations also represent independent lines.
Therefore, both sets of equations are independent of each other.