Which describes the system of equations below? y = 8/9x − 5 y = 8/9x + 3/8 Choices: (A)consistent and independent (B)inconsistent (C)consistent and dependent

Identify Slope Equality: We have the system of equations: y = (8/9)x - 5 y = (8/9)x + 3/8 Identify whether the slopes of both the equations are the same. In y = (8/9)x - 5, the slope is 8/9. In y = (8/9)x + 3/8, the slope is 8/9. Yes, the slopes of both equations are the same.Identify Y-Intercept Equality: We have: y = (8/9)x - 5 y = (8/9)x + 3/8 Identify whether the y-intercepts of both the equations are the same. In y = (8/9)x - 5, the y-intercept is -5. In y = (8/9)x + 3/8, the y-intercept is 3/8. No, the y-intercepts of both equations are not the same.Choose System Description: y = (8/9)x - 5 y = (8/9)x + 3/8 Choose the option which describes the given system of equations. Since the slopes are the same but the y-intercepts are different, the lines are parallel and never intersect. The system of equations is inconsistent.

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Which describes the system of equations below? $\newline$ $y = \frac{8}{9}x - 5$ $\newline$ $y = \frac{8}{9}x + \frac{3}{8}$ $\newline$ Choices: $\newline$ (A)consistent and independent $\newline$ (B)inconsistent $\newline$ (C)consistent and dependent

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

\newline

y = \frac{8}{9}x + \frac{3}{8}

\newline

Choices:

\newline

(A)consistent and independent

\newline

(B)inconsistent

\newline

(C)consistent and dependent

Identify Slope Equality: We have the system of equations: $\newline$ y = $(\frac{8}{9})x - 5$ $\newline$ y = $(\frac{8}{9})x + \frac{3}{8}$ $\newline$ Identify whether the slopes of both the equations are the same. $\newline$ In $y = (\frac{8}{9})x - 5$ , the slope is $\frac{8}{9}$ . $\newline$ In $y = (\frac{8}{9})x + \frac{3}{8}$ , the slope is $\frac{8}{9}$ . $\newline$ Yes, the slopes of both equations are the same.
Identify Y-Intercept Equality: We have: $\newline$ y = $(\frac{8}{9})x - 5$ $\newline$ y = $(\frac{8}{9})x + \frac{3}{8}$ $\newline$ Identify whether the y-intercepts of both the equations are the same. $\newline$ In $y = (\frac{8}{9})x - 5$ , the y-intercept is $-5$ . $\newline$ In $y = (\frac{8}{9})x + \frac{3}{8}$ , the y-intercept is $\frac{3}{8}$ . $\newline$ No, the y-intercepts of both equations are not the same.
Choose System Description: $y = \frac{8}{9}x - 5$ $\newline$ $y = \frac{8}{9}x + \frac{3}{8}$ $\newline$ Choose the option which describes the given system of equations. $\newline$ Since the slopes are the same but the y-intercepts are different, the lines are parallel and never intersect. $\newline$ The system of equations is inconsistent.