In which quadrant do the lines y = 2x - 1 and y = 7x + 8 meet.

In the first quadrant the value of the x and y coordinates
are positive, in the second quadrant the x-coordinate is positive but the y-coordinate
is negative. In the third quadrant both the x and y coordinates have a negative value
and in the fourth quadrant the x coordinate is negative while the y coordinate is
positive.

To find where the lines y = 2x - 1 and y = 7x + 8
meet, first find the coordinates of their point of
contact.

Substitute y = 2x - 1 in y = 7x +
8,

2x - 1 = 7x + 8

5x =
-9

x = -9/5

y = 2x -1 = -18/5
- 1 = -23/5

As both the x and y coordinates of the point
are negative, it lies in the third quadrant.