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# Line M travels through three quadrants of the coordinate plane. Does

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Line M travels through three quadrants of the coordinate plane. Does  [#permalink]

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22 Oct 2018, 06:56
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Difficulty:

45% (medium)

Question Stats:

57% (01:05) correct 43% (01:06) wrong based on 58 sessions

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Line M travels through three quadrants of the coordinate plane. Does Line M travel through Quadrant IV?

(1) Line M has a negative x-intercept

(2) Line M has a negative y-intercept

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Coordinate_Grid.png [ 2.5 KiB | Viewed 517 times ]

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Re: Line M travels through three quadrants of the coordinate plane. Does  [#permalink]

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22 Oct 2018, 07:10
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Line M travels through three quadrants of the coordinate plane. Does Line M travel through Quadrant IV?
Passes through 3 quadrant, so will not be parallel to any axia

(1) Line M has a negative x-intercept
See the lines in red..
If positive slope , no
If negative slope, yes
Insuff

(2) Line M has a negative y-intercept
See the lines in blue colour
Irrespective of slope it will pass through IV quadrant
Sufficient
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Re: Line M travels through three quadrants of the coordinate plane. Does  [#permalink]

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22 Oct 2018, 08:52
As per y = mx + c

Y intercept is C right?

And x intercept is the point on x axis right?

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Re: Line M travels through three quadrants of the coordinate plane. Does  [#permalink]

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22 Oct 2018, 11:29
Hi saurabh9gupta

Yes what you are saying is correct

x-intercept is basically where the line cuts through the x-axis.

y = mx + c as you labeled it.

If you let the value of x = 0 then y = c because the line will only intercept (cut through) the y-axis when the x value is 0

I hope this helps.
Re: Line M travels through three quadrants of the coordinate plane. Does   [#permalink] 22 Oct 2018, 11:29
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