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Which of the following could be the slope of a line that pas
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04 Oct 2018, 16:43
04 Oct 2018, 16:43
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Which of the following could be the slope of a line that passes through the point (–2, –3) and crosses the y-axis above the origin?
Indicate all such slopes.
A. \(\frac{-2}{3}\)
B. \(\frac{3}{7}\)
C. \(\frac{3}{2}\)
D. \(\frac{5}{3}\)
E. \(\frac{9}{4}\)
F. \(4\)
Indicate all such slopes.
A. \(\frac{-2}{3}\)
B. \(\frac{3}{7}\)
C. \(\frac{3}{2}\)
D. \(\frac{5}{3}\)
E. \(\frac{9}{4}\)
F. \(4\)
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Re: Which of the following could be the slope of a line that pas
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14 Oct 2018, 08:01
14 Oct 2018, 08:01
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sandy wrote:
Which of the following could be the slope of a line that passes through the point (–2, –3) and crosses the y-axis above the origin?
Indicate all such slopes.
A. \(\frac{-2}{3}\)
B. \(\frac{3}{7}\)
C. \(\frac{3}{2}\)
D. \(\frac{5}{3}\)
E. \(\frac{9}{4}\)
F. \(4\)
Indicate all such slopes.
A. \(\frac{-2}{3}\)
B. \(\frac{3}{7}\)
C. \(\frac{3}{2}\)
D. \(\frac{5}{3}\)
E. \(\frac{9}{4}\)
F. \(4\)
We're told that the line that passes ABOVE the origin.
So, let's see what happens when the line that passes THROUGH the origin.
When this occurs, the line has a slope of 3/2
Now notice that, if the line passes ABOVE the origin. . .
. . . then the slope of the line must be GREATER THAN 3/2
D, E and F are all GREATER THAN 3/2
Answer: D, E, F
Cheers,
Brent
General Discussion
Re: Which of the following could be the slope of a line that pas
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12 Jun 2021, 23:02
12 Jun 2021, 23:02
2
The line must hit a point on the y-axis above (0, 0).
That means the line could include (0, 0.1), (0, 25), or even (0, 0.00000001).
Since the y-intercept could get very, very close to (0, 0), use the point (0, 0) to
calculate the slope—and then reason that since the line can’t actually go
through (0, 0), the slope will actually have to be steeper than that.
Using (0, 0) as x1 and y1 and (–2, –3) as x2 and y2
(you can make either pair of points x1 and y1, so make whatever choice is most convenient):
m=3/2
Since the slope is positive and the line referenced in the problem needs to hit
the y-axis above (0, 0), the slope of that line will have to be greater than 3/2,
Select all answers with a slope greater than 3/2.
That means the line could include (0, 0.1), (0, 25), or even (0, 0.00000001).
Since the y-intercept could get very, very close to (0, 0), use the point (0, 0) to
calculate the slope—and then reason that since the line can’t actually go
through (0, 0), the slope will actually have to be steeper than that.
Using (0, 0) as x1 and y1 and (–2, –3) as x2 and y2
(you can make either pair of points x1 and y1, so make whatever choice is most convenient):
m=3/2
Since the slope is positive and the line referenced in the problem needs to hit
the y-axis above (0, 0), the slope of that line will have to be greater than 3/2,
Select all answers with a slope greater than 3/2.
