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In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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14 Jun 2016, 16:01
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In the xyplane, a line has slope 3 and xintercept 3. What is the yintercept of the line? A. 9 B. 3 C. 0 D. 3 E. 9
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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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14 Jun 2016, 21:02
saiesta wrote: In the xyplane, a line has slope 3 and xintercept 3. What is the yintercept of the line?
A. 9 B. 3 C. 0 D. 3 E. 9 x intercept 3 means the line passes through (3, 0). Slope of 3 means y coordinate increases by 3 units for every 1 unit rise in x coordinate or y coordinate decrease by 3 units for every 1 unit decrease in x coordinate. At y intercept, x coordinate is 0. So if we reduce x by 3 (to go from 3 to 0), y will reduce by 9. So, the line will pass through (0, 9) Answer (A)
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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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14 Jun 2016, 20:08
Let the line be represented by a general equation y=mx+b, where m = slope (3) and b=y intercept. We are also given the value of xintercept 3. Theory : y intercept represents the point on the line where the x=0, and x intercept represents the point on the line where the y=0. Putting these values in the equation : 0 = 3*3 + b => b = 9. Hence A.




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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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14 Jun 2016, 21:01
y = mx+c m=3 then y= 3x+c put y=0 and x=3 get C as 9 this is the y intercept.



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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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05 Aug 2017, 20:57
x intercept 3 means the line passes through (3, 0). Let the y be y and hence the line passes through (0, y). Now slope=m=(y2y1)/(x2x1) Hence 3=y/3 So y=9 A is the correct answer.



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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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05 Aug 2017, 22:17
y=mx+c
substitute m=3 and point (3,0) in the above equation
0=3(3)+c
c=9



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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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06 Aug 2017, 01:04
Mathematical approach we know equation of a line is y = mx + C Now, as given at X =3, y = 0, we can get below, 0 = 3*3 + C => C = 9 Now, the question has asked for y intercept which is nothing but C in the equation y = mx+C. we can even cross verify by substituting again  y = 3*0 = (9) = 9 Hence, A
One, intuitive approach is that it is given slope =3 => y/x = +3 meaning for every 1 unit change in X, there is a 3 unit change in y (in the same direction due to +ve sign) Therefore, from x =3 (given intercept) to x =0 (when there is y intercept only), there is a decrease of 3 units of x. Hence y will decrease 3 time of it => 3 *3 = 9. Since the value is decreasing, y (will be negative) = 9.



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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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28 Jan 2018, 14:18
Hi All, You can deal with this prompt by either drawing a picture or by just creating an equation based on the facts that you know. The slopeintercept formula for a line is Y = MX + B From the prompt, we know that the slope is 3 and the XINTERCEPT is 3 (meaning that X=3 when Y=0) Y = MX + B Y = 3X + B 0 = 3(3) + B 0 = 9 + B 9 = B So the Yintercept is 9 Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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24 Mar 2019, 06:06
using point slope form....
yy1=m(xx1)
x intercept is (3,0)
y0=3(x3)
y=3x9
9 is the y intercept



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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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10 Jul 2019, 16:51
We can apply some logic before touching formulas or anything. See my attachment. We are told that the slope is positive. We are also told that the xintercept (where y=0) of the line is 3 i.e. x=3, y=0 (3,0). Therefore we can broadly plot this line enough to rule out a few answers: We are asked for the yintercept i.e. where x=0, what is the ycoordinate the line intercepts? We can rule out (C), (D) and (E) based on our diagram. Now solve for the yintercept knowing it needs to be a negative value by plotting in the information we have General form of line: y=mx +b m (gradient) = 3 y= 3x +b we can determine b from the xintercept when x=3, y=0 0=3(3)+B b=9 y= 3x  9Yintercept is where x=0 Y= 3(0) 9 Y= 9
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Re: In the xyplane, a line has slope 3 and xintercept 3. What is the yi
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10 Jul 2019, 16:51




