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If line k passes through the points (48, 33) and (31, 22) [#permalink]
09 Jul 2018, 06:24
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If line k passes through the points (48, 33) and (31, 22), what is the xintercept of line k? A) 25 10/11 B) 3 C) 1 16/17 D) 1 16/17 E) 25 10/11 *I'll post a solution in 2 days
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Re: If line k passes through the points (48, 33) and (31, 22) [#permalink]
10 Jul 2018, 19:45
We know that every single line in 2D has a formula: y=ax+b This line goes through 2 points A(x1,y1),B(x2,y2) which means if we input x1 in the above formula we will have y1. Then we have 2 equations for 2 unknowns a and b: 33=48a+b and 22=31a+b. Solve for a and b to have y=(11/17)*x+33/17 Xintercept means that the point intercept between the line and Ox which means y=0 then solve for x=3



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Re: If line k passes through the points (48, 33) and (31, 22) [#permalink]
11 Jul 2018, 07:01
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GreenlightTestPrep wrote: If line k passes through the points (48, 33) and (31, 22), what is the xintercept of line k?
A) 25 10/11 B) 3 C) 1 16/17 D) 1 16/17 E) 25 10/11 If we sketch the two given points, we can quickly see that the slope (aka rise/run) of the line = 11/17So, we can use this information to plot another point on the line... And another point... ..at which point, we can see that the xintercept is 3Answer: B Cheers, Brent
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Re: If line k passes through the points (48, 33) and (31, 22) [#permalink]
18 Sep 2018, 13:18
i don't understand the solution for this one



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Re: If line k passes through the points (48, 33) and (31, 22) [#permalink]
19 Sep 2018, 03:15
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You can find the slope of the line k from the two given points. slope = 11/17 now plug in the values of x=48 and y = 33 in the eqn y=mx +c find the value of c which will be 33/17 Again plug in the value of y=0 in the eqn y = 11/17 * x + 33/17 solve for x and it will be 3
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Re: If line k passes through the points (48, 33) and (31, 22) [#permalink]
02 Nov 2018, 09:55
You need to keep all the solutions in fractions, getting to the answer is simple that way



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Re: If line k passes through the points (48, 33) and (31, 22) [#permalink]
20 May 2019, 08:30
I did the math correctly. But it took really few minutes as I had to find SLOPE>Y intercept>X intercept. Can any one please give a shorter way to solve such problems ? Thanks in advance .



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Re: If line k passes through the points (48, 33) and (31, 22) [#permalink]
20 May 2019, 10:11
I believe what Brent explained above is the fastest way. Regards
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Re: If line k passes through the points (48, 33) and (31, 22)
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