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If you wanted to shift the graph of y = 4x + 7 down, which equation could you use?A.y = -4x + 7B.y = 4x + 3C.y = 4x + 11D.y = x + 7

Question

If you wanted to shift the graph of y = 4x + 7 down, which equation could you use?A.y = -4x + 7B.y = 4x + 3C.y = 4x + 11D.y = x + 7

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Solution

The correct answer is B. y = 4x + 3.

Here's why:

The equation y = 4x + 7 represents a straight line with a slope of 4 and a y-intercept of 7.

If you want to shift this graph down, you need to decrease the y-intercept. The y-intercept is the value of y when x = 0, and it's represented by the constant term in the equation.

In the options given, the equation y = 4x + 3 has the same slope as the original equation (4), but a smaller y-intercept (3 instead of 7).

So, this equation would represent the same line as the original, but shifted down by 4 units.

This problem has been solved

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