Translation doesn't change the shape, size, or orientation of anything.
It just moves things around.
So the line segments in the image are not only congruent to the ones
in the original figure. They're also parallel.
We need a picture im guessing
Equation of required line is:

Step-by-step explanation:
First of all we will convert both equations in slope-intercept form

Subtracting 5x from both sides

Subtracting 9 from both sides

The y-intercept is -9.
Other equation is:

Adding 3x on both sides

Dividing both sides by 4

As the required line has y-ntercept of line y + 5x + 9 = 0
So,
b = -9
And
The line is parallel to second line, so the slopes of both will be equal

Slope-intercept form of line is:

Putting values of b and m

Keywords: Equation of line, Slope-intercept form
Learn more about equation of line at:
#LearnwithBrainly
[ 1, 1, 2, 2 ] [ 48, 49, 50, 51] Not sure about three, bro.