Description
If the equation y = 3x + 2 is changed to y = -3x + 2, how will the graph of the line change?
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Explanation & Answer
If the equation y = 3x + 2 is changed to y = -3x + 2, the graph of the line will slope downwards as the value of x increases becuse the gradient has changed from positive to negative.
The gradient of y = 3x +2 is +3 while the gradient of y = -3x +2 is -3.
Note:
If the slope of a line is positive, then the line slopes upward as the value of x increases and if the gradient if the gradient negative, then the line will slope downwards as the value of x increases.
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