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Changing the slope from 0.2 to -4 in the equation would make the graph steeper, and the line would now fall sharply instead of rising gently. And it will make it sloppier

Question

Changing the slope from 0.2 to -4 in the equation would make the graph steeper, and the line would now fall sharply instead of rising gently. And it will make it sloppier

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Solution

Sure, let's break it down step by step:

  1. Identify the original equation: The original equation is not explicitly given, but we can assume it is in the form of y=mx+b y = mx + b , where m m is the slope and b b is the y-intercept.

  2. Original slope: The original slope is 0.2. This means the line rises gently as it moves from left to right.

  3. New slope: The new slope is -4. This means the line will fall sharply as it moves from left to right.

  4. Effect on the graph:

    • Steepness: Changing the slope from 0.2 to -4 makes the graph steeper. A larger absolute value of the slope indicates a steeper line.
    • Direction: The original slope of 0.2 is positive, so the line rises. The new slope of -4 is negative, so the line falls.
  5. Conclusion: The line will now fall sharply instead of rising gently. The term "sloppier" might be a misunderstanding; the correct term is "steeper" due to the larger absolute value of the slope.

So, changing the slope from 0.2 to -4 in the equation would make the graph steeper, and the line would now fall sharply instead of rising gently.

This problem has been solved

Similar Questions

If we changed the 0.2 to a –4 in the equation, what would happen to the graph?

The equation of a line is y = 2x - 4. If the equation is changed to y = 2x - 2, how will the graph of the line change?ResponsesThe line will become less steep.The line will become less steep.The line will shift up 2 units.The line will shift up 2 units.The line will shift left 2 units.The line will shift left 2 units.The line will shift right 2 units.The line will shift right 2 units.The line will shift down 2 units.

What is the slope between (−4,0) and

Graph the line with slope −2 and y-intercept −4.

Graph the line with slope −2 passing through the point −4, 2.

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