We can find the two linear equations by using the point-slope form of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
For the first equation:
Using the first point (-2, 8), we have m = (y2 - y1) / (x2 - x1) = (-3 - 8) / (-2 - (-2)) = -11/0, which is undefined. This means the first line is a vertical line.
The equation can then be written as x = -2, since the x-coordinate is constant.
For the second equation:
Using the second point (-1, 4), we have m = (y2 - y1) / (x2 - x1) = (-2 - 4) / (-1 - (-2)) = -2.
The equation can then be written as y - 4 = -2(x + 1), or y = -2x - 2.
Thus, the system of linear equations is:
x = -2
y = -2x - 2
Written in standard form:
x + 0y = -2
-2x + y = -2