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Which describes the system of equations below?\newliney=−4x−1y = -4x - 1\newliney=−4x−78y = -4x - \frac{7}{8}\newlineChoices:\newline(A)consistent and dependent\newline(B)inconsistent\newline(C)consistent and independent

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Q. Which describes the system of equations below?\newliney=−4x−1y = -4x - 1\newliney=−4x−78y = -4x - \frac{7}{8}\newlineChoices:\newline(A)consistent and dependent\newline(B)inconsistent\newline(C)consistent and independent
  1. Compare slopes: Compare the slopes of both equations.\newlineEquation 11: y=−4x−1y = -4x - 1, slope = −4-4.\newlineEquation 22: y=−4x−78y = -4x - \frac{7}{8}, slope = −4-4.\newlineBoth equations have the same slope.
  2. Compare y-intercepts: Compare the y-intercepts of both equations.\newlineEquation 11: y=−4x−1y = -4x - 1, y-intercept = −1-1.\newlineEquation 22: y=−4x−78y = -4x - \frac{7}{8}, y-intercept = −78-\frac{7}{8}.\newlineThe y-intercepts are different.
  3. Determine system type: Determine the type of system based on slopes and yy-intercepts.\newlineSince the slopes are the same but the yy-intercepts are different, the lines are parallel and do not intersect.\newlineThis means the system is inconsistent.

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