Questions: Graph the line. y = -(1/4)x + 2

Transcript text: Graph the line. \[ y=-\frac{1}{4} x+2 \]

Solution

Solution Steps

Step 1: Identify the Equation of the Line

The equation of the line is given as: \[ y = -\frac{1}{4}x + 2 \]

Step 2: Determine the Slope and Y-Intercept

The slope $ m $ is $-\frac{1}{4}$ and the y-intercept $ b $ is 2.

Step 3: Plot the Line

To plot the line, we need to choose a range for $ x $ and calculate corresponding $ y $ values. A typical range might be from $-10$ to $10$.

Final Answer

The line is represented by the equation: \[ y = -\frac{1}{4}x + 2 \]

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -5, "ymax": 5}, "commands": ["y = (-1/4)x + 2"], "latex_expressions": ["$y = -\\frac{1}{4}x + 2$"]}

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