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In the xy-plane, line d has the equation y = mx + b. Line d is paralle

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In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

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New post 20 Mar 2019, 10:21
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In the xy-plane, line d has the equation y = mx + b. Line d is parallel to line f, whose equation is 4x + 5y = 15, and intersects line g at the point (4,5). What is the y-intercept of line d?

A) 1.8
B) 3
C) 8
D) 8.2
E) 15
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Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

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New post 26 Mar 2019, 10:44
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energetics wrote:
In the xy-plane, line d has the equation y = mx + b. Line d is parallel to line f, whose equation is 4x + 5y = 15, and intersects line g at the point (4,5). What is the y-intercept of line d?

A) 1.8
B) 3
C) 8
D) 8.2
E) 15


4x + 5y = 15
y= -4/5x+3
(4,5)
eqn of line D = y=-4/5x+c
solve with (4,5) for C
we get C = 8.2
IMO D
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Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

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New post 08 Apr 2019, 10:04
Hi can anyone help me with the explanation of this answer?
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Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

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New post 08 Apr 2019, 10:26
abhishek31 wrote:
Hi can anyone help me with the explanation of this answer?


abhishek31
anything in specific you in doubt then please highlight

we are given
4x + 5y = 15
eqn of line ; y=mx+c
y= y coordinate ; x= x coordinate and c= y intercept

so we can re write 4x + 5y = 15 as
y= -4/5x+3
(4,5) given
slope of line will be same ; m = -4/5 ,we need to find C for
eqn of line D = y=-4/5x+c
solve with (4,5) for C
we get C = 8.2
IMO D
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Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

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New post 11 Apr 2019, 14:07
Archit3110 wrote:
abhishek31 wrote:
Hi can anyone help me with the explanation of this answer?


abhishek31
anything in specific you in doubt then please highlight

we are given
4x + 5y = 15
eqn of line ; y=mx+c
y= y coordinate ; x= x coordinate and c= y intercept

so we can re write 4x + 5y = 15 as
y= -4/5x+3
(4,5) given
slope of line will be same ; m = -4/5 ,we need to find C for
eqn of line D = y=-4/5x+c
solve with (4,5) for C
we get C = 8.2
IMO D




The (4,5) given is the intersection so why do we take it for solving the equation?

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Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

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New post 02 May 2019, 13:11
Shef08 Because we need a point on the line to find it's y-intercept.
line d intersects line g at (4,5) which means the point is a solution for/part of both lines).

Generally we need either 2 points to first find the slope, or a point and the slope to find the equation.
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Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

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New post 17 May 2019, 00:20
Can someone please tell why I have this wrong?

Y= -(4/5)x + b
5= -(4/5)*4 + b
b= 9/5

Y= -(4/5)*0 + 9/5
Y=9/5

Thank you :)
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Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle   [#permalink] 17 May 2019, 00:20
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