Questions: Graph the line. y = -(3/4)x + 2

Transcript text: question 4 Graph the line. \[ y=-\frac{3}{4} x+2 \]

Solution

Solution Steps

Step 1: Identify the equation of the line

The given equation of the line is: \[ y = -\frac{3}{4} x + 2 \]

Step 2: Determine the slope and y-intercept

The slope $ m $ is $ -\frac{3}{4} $ and the y-intercept $ b $ is 2.

Step 3: Solve for y-values at specific x-values

To plot the line, we can choose a range of x-values and calculate the corresponding y-values. For simplicity, let's choose $ x $ values from -10 to 10.

Final Answer

The equation of the line is: \[ y = -\frac{3}{4} x + 2 \]

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

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