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16 Mar 2020, 06:26
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Difficulty:
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94% (01:12) correct
6%
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A line has a slope of 1/6 and intersects the x-axis at (−24, 0). At which point does this line intersect the y-axis?
A. (0, 1)
B. (0, 2)
C. (0, 3)
D. (0, 4)
E. (0, 5)
A. (0, 1)
B. (0, 2)
C. (0, 3)
D. (0, 4)
E. (0, 5)
16 Mar 2020, 06:43
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Bunuel
General equation of line is y = mx + c where m = slope
With slope 1/6 and at point (−24, 0), the equation becomes
0 = (1/6)*(-24) + c
i.e. c = 4
i.e. Equation of Line becomes, y = (1/6)x + 4
Intersection of line at Y-axis is also called y-intercept
For y-Intercept, we need to substitute x = 0 in equation of line
Substituting x=0 in y = (1/6)x + 4
y = 40
i.e. Co-ordinate is (0, 4)
Answer: Option D
Archit3110
Major Poster
16 Mar 2020, 10:02
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Bunuel
eqn of line ; y =mx+c
so given m= 1/6 and x=-24 and y = 0 ; value of y intercept c can be determined
i.e 0= 1/6 * (-)24+c
c= 4
IMO D: 0,4
Bunuel ; please check option D&E are same
