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The x-intercept of the line having a slope of 1 and passing through
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04 Dec 2024, 02:07
04 Dec 2024, 02:07
Expert Reply
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Question Stats:
100% (00:42) correct
0% (00:00) wrong based on 3 sessions
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The x-intercept of the line having a slope of –1 and passing through the point (1, 2) is
A. –3
B. 0
C. –1
D. 1
E. 3
A. –3
B. 0
C. –1
D. 1
E. 3
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Re: The x-intercept of the line having a slope of 1 and passing through
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22 Dec 2024, 03:38
22 Dec 2024, 03:38
Expert Reply
We know that equation of a line having slope ' $\(m\)$ ' and $\(y\)$-intercept ' $\(c\)$ ' is $\(y=m x+c\)$
Using the above equation, the equation of line having slope -1 would be $\(y=-x+c\)$
Next as above line passes through $\((1,2)\)$, we get $\(2=-1 \times 1+c \Rightarrow c=2+1=3\)$, so the equation comes out to be $\(y=-x+3\)$
Finally the $\(x\)$-intercept of the line is $\(0=-x+3 \Rightarrow x=3\)$ (Note: $\(-x\)$ - intercept of a line is the value of $\(x\)$ when $\(y\)$ is 0 )
Hence the answer (E)
Using the above equation, the equation of line having slope -1 would be $\(y=-x+c\)$
Next as above line passes through $\((1,2)\)$, we get $\(2=-1 \times 1+c \Rightarrow c=2+1=3\)$, so the equation comes out to be $\(y=-x+3\)$
Finally the $\(x\)$-intercept of the line is $\(0=-x+3 \Rightarrow x=3\)$ (Note: $\(-x\)$ - intercept of a line is the value of $\(x\)$ when $\(y\)$ is 0 )
Hence the answer (E)
gmatclubot
Re: The x-intercept of the line having a slope of 1 and passing through [#permalink]
22 Dec 2024, 03:38
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