Gladys classifies the following system of equations.
y = 6x + 2
y = 6x + 1
Select Correct or Not correct for each statement.
Statement
Correct
Not correct
o
O
The system is inconsistent because the slopes are the same and the lines are different.
The system is dependent because the y-intercepts are different.
O
O

Gladys classifies the following system of equations y 6x 2 y 6x 1 Select Correct or Not correct for each statement Statement Correct Not correct o O The system class=

Respuesta :

The system is inconsistent because the slopes are the same and the lines are different.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the following system of equations:

y = 6x + 2     (1)

y = 6x + 1      (2)

We can see that both equations have the same slope of 6 but have different y intercepts.

Hence the system is inconsistent because the slopes are the same and the lines are different.

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