the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of the line afte

Question

the line y=2x-4 is dilated bt a scale factor of 3/2 and centered at the origin. Write an equation that represent that image of the line after dilation

in progress 0
2022-04-08T11:32:10+00:00 0 Answers 0

Answers ( 2 )

  1. Natalia
    0
    2022-04-08T11:33:23+00:00
    Reply

    To solve this problem you must apply the proccedure shown below:

    1. You have the the line y=2x-4 is dilated by a scale factor of 3/2 and centered at the origin.

    2. The form of the a line is y=mx+b, where m is the slope and b is the y-intercept. Asdilation conserves theparallelism, the dilated linw will have the same slolpe: 2

    m=2

    3. By using the y-intercept, you have:

    (0,-4)

    0x3/2=0
    -4(3/2)=-6

    (0,-6)

    4. Therefore, theequation that represent that image of the line after dilation is:

    m=2
    b=-6

    y=2x-6

  2. Josie
    0
    2022-04-08T11:33:25+00:00
    Reply

    The equation that represent that image of the line after dilation is

    [tex]y = 2x-6[/tex]

    Given :

    The line [tex]y=2x-4[/tex] is dilated by a scale factor of [tex]3div2[/tex] and centered at the origin.

    Solution :

    The given line has slope 2 and y intercept -4.

    As dilation conserves the parallelism, the dilated line will have the same slope = 2 and the y intercept of the dilated line is

    [tex]= -4times dfrac{3}{2}=-6[/tex]

    Therefore the equation that represent that image of the line after dilation is

    [tex]y = 2x-6[/tex]

    For more information, refer the link given below

    https://brainly.com/question/14022834

Leave an answer

Browse
Browse

45:5+15*4 = ? ( )