Which describes the system of equations below? y = –9x − 5/8 y = –9x − 5/8 Choices: (A)consistent and independent (B)consistent and dependent (C)inconsistent

Analyze Equations: Analyze the equations to see if they are the same or different. We have: y = -9x - 5/8 y = -9x - 5/8 Both equations are identical. Check Slopes: Check the slopes of both equations. In y = -9x - 5/8, the slope is -9. In y = -9x - 5/8, the slope is also -9. Since both slopes are the same, the lines are parallel or the same line. Check Y-Intercepts: Check the y-intercepts of both equations. In y = -9x - 5/8, the y-intercept is -5/8. In y = -9x - 5/8, the y-intercept is also -5/8. Since both y-intercepts are the same, the lines are the same line, not just parallel. Determine System Type: Determine the type of system based on the analysis. Since both the slope and y-intercept are the same for both equations, the system is consistent and dependent. They represent the same line, so they have infinitely many solutions.

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Which describes the system of equations below? $\newline$ $y = -9x - \frac{5}{8}$ $\newline$ $y = -9x - \frac{5}{8}$ $\newline$ Choices: $\newline$ (A)consistent and independent $\newline$ (B)consistent and dependent $\newline$ (C)inconsistent

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Algebra 1

Classify a system of equations

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Q. Which describes the system of equations below?

\newline

y = -9x - \frac{5}{8}

\newline

y = -9x - \frac{5}{8}

\newline

Choices:

\newline

(A)consistent and independent

\newline

(B)consistent and dependent

\newline

(C)inconsistent

Analyze Equations: Analyze the equations to see if they are the same or different. $\newline$ We have: $\newline$ $y = -9x - \frac{5}{8}$ $\newline$ $y = -9x - \frac{5}{8}$ $\newline$ Both equations are identical.
Check Slopes: Check the slopes of both equations. $\newline$ In $y = -9x - \frac{5}{8}$ , the slope is $-9$ . $\newline$ In $y = -9x - \frac{5}{8}$ , the slope is also $-9$ . $\newline$ Since both slopes are the same, the lines are parallel or the same line.
Check Y-Intercepts: Check the y-intercepts of both equations. $\newline$ In $y = -9x - \frac{5}{8}$ , the y-intercept is $-\frac{5}{8}$ . $\newline$ In $y = -9x - \frac{5}{8}$ , the y-intercept is also $-\frac{5}{8}$ . $\newline$ Since both y-intercepts are the same, the lines are the same line, not just parallel.
Determine System Type: Determine the type of system based on the analysis. $\newline$ Since both the slope and $y$ -intercept are the same for both equations, the system is consistent and dependent. They represent the same line, so they have infinitely many solutions.