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sergey [27]
3 years ago
12

The green line below

Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0
A,d I'm pretty sure because of the cy axis
Serjik [45]3 years ago
7 0

Answer:

A D E are all true. The others are false and should not be checked.

Step-by-step explanation:

A crosses the x axis at (- 2.5,0)

B is false. The line does not go through (0,0) which is the origin.

C  is false. The green line is not perpendicular to anything.

D is true. It crosses the y axis at (0,5)

E is true. It is on the xy plane.

F is false. It is not parallel to either axis.

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The correct answers are:

1. 35

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Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
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