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10 May 2021, 21:00
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C
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Difficulty:
15%
(low)
Question Stats:
81% (01:03) correct
19%
(01:14)
wrong
based on 186
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The line 3x + 4y = 8 passes through all of the quadrants in the coordinate plane except:
A. I
B. II
C. III
D. IV
E. II and IV.
A. I
B. II
C. III
D. IV
E. II and IV.
11 May 2021, 09:57
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y = mx + c.
A line atmost passes through 3 quadrants.
Given line : 3x + 4y = 8
Standard form: \(y = \frac{-3}{4}x + 2\)
m = negative and c is positive. It will pass through 1,2 and 4 quadrants.
Case 1: m is positive and c is positive. The straight line will pass through 1,2 and 3 quadrants.
Case 2: m is negative and c is positive. The straight line will pass through 1,2 and 4 quadrants.
Case 3: m is positive and c is negative. The straight line will pass through 1,3 and 4 quadrants.
Case 4: m is negative and c is negative. The straight line will pass through 2,3 and 4 quadrants.
Answer C
A line atmost passes through 3 quadrants.
Given line : 3x + 4y = 8
Standard form: \(y = \frac{-3}{4}x + 2\)
m = negative and c is positive. It will pass through 1,2 and 4 quadrants.
Case 1: m is positive and c is positive. The straight line will pass through 1,2 and 3 quadrants.
Case 2: m is negative and c is positive. The straight line will pass through 1,2 and 4 quadrants.
Case 3: m is positive and c is negative. The straight line will pass through 1,3 and 4 quadrants.
Case 4: m is negative and c is negative. The straight line will pass through 2,3 and 4 quadrants.
Answer C
16 May 2021, 03:15
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Bunuel
Notice that if both x and y are negative, then both 3x and 4y will be negative. The sum of two negative values (3x and 4y) cannot give positive result (8). Thereore the line does not pass through the third quadrant, where both x and y are negative.
Answer: C.
Check the diagram below:
Hope it's clear.
Attachment:
graph.png [ 1.98 KiB | Viewed 8876 times ]
