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Please helppp
A line that passes through the points whose coordinates are (1,1) and (5,7)

is dilated by scale factor of 3 and centered at the origin. The image of the line


a) is perpendicular to the original line

b) is parallel to the original line

c) passes through the origin

d) is the same line

Sagot :

Answer:

B

Step-by-step explanation:

The image that the line will produce would be:

b). is parallel to the original line.

Given that,

Coordinates = [tex](1,1) and (5,7)[/tex]

Scale factor [tex]= 3[/tex]

As we know,

Slope [tex]= \frac{y_{2} - y_{1} }{{x_{2} - x_{1}} }[/tex]

where;

[tex]y_{2} = 7[/tex]

[tex]y_{1} = 1[/tex]

[tex]x_{2} = 5[/tex]

[tex]x_{1} = 1[/tex]

By putting these values,

Slope [tex]= (7 - 1)/(5-1)[/tex]

[tex]= 6/4[/tex]

[tex]=[/tex] [tex]1.5[/tex]

∵The image of the line would be ║ to the original line.

Thus, option b is the correct answer.

Learn more about "Coordinate" here:

https://brainly.com/question/16634867

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