If you wanted to make the graph of y = 6x + 7 less steep, which equation could you use?A.y = 6x + 4B.y = -6x + 7C.y = 2x + 7D.y = 10x + 7
Question
If you wanted to make the graph of y = 6x + 7 less steep, which equation could you use?A.y = 6x + 4B.y = -6x + 7C.y = 2x + 7D.y = 10x + 7
Solution
The steepness of a graph is determined by the coefficient of x, which is the slope of the line. In the equation y = 6x + 7, the slope is 6. To make the graph less steep, you would need to decrease the slope.
Looking at the options:
A. y = 6x + 4: The slope is still 6, so the steepness hasn't changed. B. y = -6x + 7: The slope is -6, which makes the line steeper but in the opposite direction. C. y = 2x + 7: The slope is 2, which is less than 6, so the line would be less steep. D. y = 10x + 7: The slope is 10, which is greater than 6, so the line would be steeper.
Therefore, the correct answer is C. y = 2x + 7.
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