Line y = -2x - 1 is transformed by dilation with a scale factor of 2 and centered at (1,-3). Write the equation of lines image

The y value is equivalent to the centre of dilation, the equation of the line image will be equal to y = -2x - 1

The standard form of an equation is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

Given the equation of a line expressed as y = -2x - 1

If the line is transformed by dilation with a scale factor of 2 and centred at (1, -3)

First, we will need to find the y-value for which x = 1

y = -2(1) - 1

y = -2 - 1

y = -3

Since the y value is equivalent to the centre of dilation, the equation of the line image will be equal to y = -2x - 1

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Step-by-step explanation:

The given equation of line is

The above line dilated with a scale factor of 2 and centered at (1,-3).

Substitute in the given equation.

The line passing through (1,-3). It means, the given line passing through the center of dilation.

We know that if a line passes through the center of the dilation, then nothing will change and equation of image is same as the equation of line.

So, the equation of image of line is .

i you goofed up when writing this, because hnot is not a word minusf is not either. i cannot answer   because of that.

step-by-step explanation:

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

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