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# If the three lines above all intersect at exactly one point, what is

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Re: If the three lines above all intersect at exactly one point, what is [#permalink]
Bunuel wrote:
y = mx − 7
y = 12x + b
y = x + 1

If the three lines above all intersect at exactly one point, what is the value m + b?

(1) The x−coordinate at the point where all three lines meet is 8.

(2) The y−coordinate at the point where all three lines meet is 9.

There are 3 equation and 4 variable(x,y,m,b). Knowing values of any one variable will help us solve this question.

NOTE - We need not solve the equation to find the values. We just need to determine if it is possible to find the value of m + b.

Statement 1 :- The x−coordinate at the point where all three lines meet is 8.

This gives the value of x =8. Hence we can solve the equation to find unique value of m +b. Sufficient.

Statement 2 :- The y−coordinate at the point where all three lines meet is 9.

This gives the value of y =9. Hence we can solve the equation to find unique value of m +b. Sufficient.

Hence Ans -D
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Re: If the three lines above all intersect at exactly one point, what is [#permalink]
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Re: If the three lines above all intersect at exactly one point, what is [#permalink]
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