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 + 7
B. y = 4x + 3
C. y = 4x + 11
D. y = x + 7
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.
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