Line P is described by the equation 3x + 2y - 4 = 0. Which of the foll

Question

Line P is described by the equation  3x + 2y - 4 = 0 . Which of the following lines is parallel to P and has the same x-intercept as the line  5x - y + 10 = 0 ?

A.  6x = -4y + 8

B.  -y = (\frac{3}{2})x + 5

C.  3y = (- \frac{9}{2})x - 9

D.  4x + 6y +8 = 0

E.  6x - 4y = -12

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bebs · Accepted Answer

In slope-intercept form, 3x+2y-4=0 ==> y = - \frac{3}{2} x + 2

A line parallel to this line must have a slope of -1.5

5x−y+10=0 ==> y = 5x + 10 ==> To find the x-intercept, let y = 0 ==> x = -2

From the options given, C has a slope of -1.5 and x-intercept of -2, so option   C   is the answer.

sampriya · Answer

Line P is described by the equation 3x+2y−4=0. Which of the following lines is parallel to P and has the same x-intercept as the line 5x−y+10=0?

to be parallel the slope must be -3/2 and the y intercept should not be 2, x intercept= -2

A,B and C have the same slope

but only option C has the same X-intercept

option C is the correct option!!

Archit3110 · Answer

for the given line P ;  3x + 2y - 4 = 0 .
y = -3/2x+2
slope = -1.5 and the x intercept for  5x - y + 10 = 0  is y =0 x=-2
out of given options 
option C has slope = -1.5 i.e it is ll to line P and also has x intercept = -2
IMO C

vg18 · Answer

Line P is described by the equation 3x+2y−4=0. Which of the following lines is parallel to P and has the same x-intercept as the line 5x−y+10=0?

Ans: Slope of line P=-3/2
X-intercept of 5x-y+10=0 is -2

First lets check for x- intercept. Eliminate A&b
Second, lets check for slope for the remaining three eq. C is the ans

A. 6x=−4y+86x=−4y+8

B. −y=(32)x+5−y=(32)x+5

C. 3y=(−92)x−93y=(−92)x−9

D. 4x+6y+8=04x+6y+8=0

E. 6x−4y=−12

ShankSouljaBoi · Answer

intercept form of a line is given by x/a + y/b = 1 , a and b are x and y intercept respectively . hence, the x intercept of required line is -2 or the line passses through (-2,0). Slope of required line is -3/2
hence required line is (Y-0) = slope* (X- (-2))
----> Y = -3/2 * (X + 2)

-----> C matches

Raksat · Answer

RULE : Two lines are parallel if their slopes are equal and they have different y-intercepts

HERE , A, B and C have same slope as 3x+2y−4=0
The X intercept of 5x−y+10 =0 is 2 units. Option C satisfy this condition as per stimulus. Hence C must be the solution.

reyzr23 · Answer

After we have deduced that slope of the line needs to be -1.5 and x-intercept needs to be -2, is there a faster way to eliminate options/choose the right one other than just restructuring the lines to see which have slope=-1.5 and which give x=-2 after putting y=0? I went over board with time in doing that for each.

rsrighosh · Answer

Is going through option one by one the only way? Or there is some logical approach that would lead me to select the right answer? Going after each option consumed a lot of time for me

bumpbot · Answer

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Line P is described by the equation 3x + 2y - 4 = 0. Which of the foll

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Line P is described by the equation 3x + 2y - 4 = 0. Which of the foll

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