Questions: Graph the linear equations by writing the equations in slope-intercept form: y=-5 y=-8 y=-5 Identify the appropriate number of solutions. If there is a solution, give the point: One Solution ( ) No Solution Infinite Number of Solutions

Graph the linear equations by writing the equations in slope-intercept form: y=-5 y=-8 y=-5 Identify the appropriate number of solutions. If there is a solution, give the point: One Solution ( ) No Solution Infinite Number of Solutions
Transcript text: Graph the linear equations by writing the equations in slope-intercept form: \[ \begin{array}{l} y=-5 \\ y=--8 \\ y=-5 \end{array} \] Identify the appropriate number of solutions. If there is a solution, give the point: One Solution ( $\square$ $\square$ ) No Solution Infinite Number of Solutions
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Solution

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Solution Steps

Step 1: Convert equations to slope-intercept form

The given equations are already in slope-intercept form: \[ \begin{array}{l} y = -5 \\ y = -8 \\ y = -5 \end{array} \]

Step 2: Identify the number of solutions

Since two of the equations are identical (\(y = -5\)) and one is different (\(y = -8\)), the lines represented by these equations are parallel. Therefore, there is no single point where all three lines intersect.

Final Answer

There is no solution.

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = -5", "y = -8", "y = -5"], "latex_expressions": ["$y = -5$", "$y = -8$", "$y = -5$"]}

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