Which of the following is being constructed in the image?

Option 1 is correct. The line created will be parallel to the given line and passing through a point not on the given line.

Step-by-step explanation:

In the given image, firstly a line is constructed.

After drawing the line, an intersecting line is drawn. Now, the measure of angle between these two lines is calculated.

After calculating the measure of angle, an angle of same measure is created at a point not on the first line.

Then, a line is drawn passing through that point with the same angle measure.

The created line will now be parallel to the first line because the corresponding angles are equal.

Therefore, option 1 is correct. The line created will be parallel to the given line and passing through a point not on the given line.

For more details, refer the link:

link

In the shown image of construction, first a line constructed.

Then they draw an angle.

They make an arc to represent the angle on the constructed line in step 1.

They cut the arc by measuring the angle.

They kept open same width of the compass and they cut another arc above.

They joined the points to make equal corresponding angles.

After joining points, we got a parallel line we draw in first point.

Therefore, correct option is:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )