Questions: Graph the equation y = -2x + 5 by plotting point

Transcript text: Graph the equation $y=-2 x+5$ by plotting point

Solution

Solution Steps

Step 1: Identify the equation to be graphed

The given equation is $ y = -2x + 5 $.

Step 2: Determine the range for the plot

To graph the equation, we need to choose a suitable range for $ x $ and $ y $. Let's use the range $ -10 \leq x \leq 10 $ and calculate the corresponding $ y $ values.

Step 3: Calculate the corresponding $ y $ values

For $ x = -10 $: \[ y = -2(-10) + 5 = 20 + 5 = 25 \]

For $ x = 10 $: \[ y = -2(10) + 5 = -20 + 5 = -15 \]

Final Answer

The equation $ y = -2x + 5 $ is a straight line with a slope of -2 and a y-intercept of 5.

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -15, "ymax": 25}, "commands": ["y = -2x + 5"], "latex_expressions": ["$y = -2x + 5$"]}

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