Answer:
3
Step-by-step explanation:
The correct answer is:
3
Explanation
review
△WXY~△GEF.
6
3
6
Y
X
W
2
1
2
F
E
G
What is the similarity ratio of △WXY to △GEF?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.
solve
Look at the triangles.
6
3
6
Y
X
W
2
1
2
F
E
G
The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is
WX
EG
=
3
1
=3.
As x decreases y also decreased
Label the given points as follows:
A (0, 5)
B (2, 2)
C (3, 1)
D (4, -1)
The straight line has a constant slope. Therefore it should have the same value when any two of the four points are used to calculate the slope.
Try A and B:
Slope = (2 - 5)/(2 - 0) = -3/2
Try A and C:
Slope = (1 - 5)/(3 - 0) = -4/3
Try A and D.
Slope = (-1 - 5)/(4 - 0) = -3/2
Try B and D.
Slope = (-1 - 2)/(4 - 2) = -3/2
Clearly, C does not lie on the straight line.
Answer: The point that the graph does not pass through is (3,1).