Questions: Graph the line. y=3x-8

Graph the line. y=3x-8
Transcript text: Graph the line. \[ y=3 x-8 \]
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Solution

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Solution Steps

Step 1: Choose \( x \)-values

We choose some \( x \)-values to evaluate the function \( y = 3x - 8 \).

Step 2: Evaluate \( y \) for each \( x \)-value

\[ \begin{array}{|c|c|c|} \hline x & y = 3x - 8 & (x, y) \\ \hline 0 & 3 \cdot 0 - 8 = -8 & (0, -8) \\ \hline 1 & 3 \cdot 1 - 8 = -5 & (1, -5) \\ \hline 2 & 3 \cdot 2 - 8 = -2 & (2, -2) \\ \hline \end{array} \]

Step 3: Plot the points and draw the line

Plot the points \((0, -8)\), \((1, -5)\), and \((2, -2)\) and draw a line through them.

Final Answer

The points \((0, -8)\), \((1, -5)\), and \((2, -2)\) lie on the line \( y = 3x - 8 \).

{"axisType": 3, "coordSystem": {"xmin": -1, "xmax": 3, "ymin": -10, "ymax": 0}, "commands": ["y = 3x - 8"], "latex_expressions": ["$y = 3x - 8$"]}

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