Write the equation of the line 4y-2x =8 when dilated by a scale factor of 5 centered at the origin

Step-by-step explanation:

Regents Exam Questions G.SRT.A.1: Line Dilations Name:

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1

G.SRT.A.1: Line Dilations

1 On the set of axes below, AB is dilated by a scale

factor of 5

2

centered at point P.

Which statement is always true?

1) PA ≅ AA' 2) AB  A'B' 3) AB = A'B'

4) 5

2 (A'B' ) = AB

2 A line segment is dilated by a scale factor of 2

centered at a point not on the line segment. Which

statement regarding the relationship between the

given line segment and its image is true?

1) The line segments are perpendicular, and the

image is one-half of the length of the given line

segment. 2) The line segments are perpendicular,

and the image is twice the length of the given line

segment. 3) The line segments are parallel, and

the image is twice the length of the given line

segment. 4) The line segments are parallel, and

the image is one-half of the length of the given line

segment.

3 The line whose equation is 3x − 5y = 4 is dilated by

a scale factor of 5

3

centered at the origin. Which

statement is correct?

1) The image of the line has the same slope as the

pre-image but a different y-intercept. 2) The

image of the line has the same y-intercept as the

pre-image but a different slope. 3) The image of

the line has the same slope and the same y-intercept

as the pre-image. 4) The image of the line has a

different slope and a different y-intercept from the

pre-image.

4 If the line represented by y = −1

4 x − 2 is dilated by

a scale factor of 4 centered at the origin, which

statement about the image is true?

1) The slope is −1

4

and the y-intercept is −8.

2) The slope is −1

4

and the y-intercept is −2.

3) The slope is −1 and the y-intercept is −8.

4) The slope is −1 and the y-intercept is −2.

5 A line that passes through the points whose

coordinates are (1,1) and (5,7) is dilated by a scale

factor of 3 and centered at the origin. The image of

the line

1) is perpendicular to the original line 2) is

parallel to the original line 3) passes through the

origin 4) is the original line

6 A three-inch line segment is dilated by a scale

factor of 6 and centered at its midpoint. What is

the length of its image?

1) 9 inches 2) 2 inches 3) 15 inches 4) 18

inches

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: