What conic section degenerates into a line?
1 answer:
<h3>
Answer: A) parabola</h3>
Some degenerate parabola cases form a single straight line, while other cases form one pair of parallel lines.
A degenerate hyperbola forms two lines that intersect at the vertex of the cone. We can rule out choice B.
A degenerate circle is a single point, so we can rule out choice C.
A degenerate ellipse is also a single point. Any circle is an ellipse (but not the other way around). We can rule out choice D.
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Step-by-step explanation:
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y = 2x - 1 is the required equation
Step-by-step explanation:
slope(m) = (3-7)/(2-4)
m = -4/(-2)
so, m = 2
Now,
y = mx + b
or, y = 2x + b
so, 3 = 2*2 + b
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