Question

In y = -2x + 2, which of the following statements must be true about the
equation? (Check all that apply)
A) The slope is -2.
B) The equation represents a quadratic function.
C) The y-intercept is (0,-2).
D) From left to right, the line is decreasing or moving in a negative direction.

Answer 1

Hi there!  

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I believe your answer is:  

A) The slope is -2.

D) From left to right, the line is decreasing or moving in a negative direction.

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Here’s why:  

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• The equation given is in 'Slope-Intercept Form', where the equation gives the slope and y-intercept of a linear line. This would eliminate option B, since it is not quadradic.

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$\boxed{\text{Slope-Intercept Form is:}}\\\\y = mx + b\\\\\rightarrow m - slope\\\\\rightarrow b - \text'y-intercept\text'$

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• In the equation $y= -2x+2$, the slope is '-2' (-2 takes m's place) and the y-intercept is (0,2). (2 takes b's place.)
• This would mark option A as a correct answer and eliminate option C.
• Line with negative slopes would go down if you were looking at the graph from left to right. Since the sign of the slope is negative, this would make option D a correct answer as well.

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Options A and D should be correct.

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Hope this helps you. I apologize if it’s incorrect.