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A line that passes through (-3, 9) and (-3, 4) will most likely be a line that is______.

A. horizontal
B. vertical
C. steeper than a line with a slope of 2
D. steeper than a line with a slope of -5

User Kimbo
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1 Answer

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Final answer:

The line passing through (-3, 9) and (-3, 4) is vertical since both points have the same x-coordinate. Vertical lines have undefined slopes and are not described as steep since steepness is a characteristic of lines with defined slopes.

Step-by-step explanation:

A line that passes through the points (-3, 9) and (-3, 4) has the same x-coordinate but different y-coordinates. This means that the line is vertical and does not change in the horizontal direction no matter how much it changes in the vertical direction. The slope of a vertical line is undefined because you end up with a division by zero when calculating the change in x (which is 0).

Therefore, the correct answer to the question is that the line that passes through (-3, 9) and (-3, 4) will most likely be a vertical line. This is because a vertical line has an undefined slope, and in this case, it is not about steepness but rather a distinct characteristic of vertical lines.

User Manoj R
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