The equations in standard form are: 14) (3x - y = -8). 15) (3x + 4y = 13). 16) (3x + 4y = 12). 17) (y = 3). 18) (3x - 2y = -11). 19) (7x - 5y = -35). 20) (5x - 4y = 16). 21) (2x + y = -10). 22)
. 23) (x - y = -3). 24) (5x - 7y = -17). 25) (x + y = -4). 26) (3x - y = -3). 27) (5x + 6y = 35)
Let's write the equations in standard form:
14) (y + 5 = 3(x + 1))
Standard form: (3x - y = -8)
15) Through (4, -1), slope -3/4
Standard form: (3x + 4y = 13)
16) Through (0, 3) and (-4, -3)
Standard form: (3x + 4y = 12)
17) Through (0, 3) and (-4, 3)
Standard form: (y = 3)
18) Through (-3, -2) and (-5, -5)
Standard form: (3x - 2y = -11)
19) Through (0, -2) and (1, 5)
Standard form: (7x - 5y = -35)
20) Through (-4, -4), parallel to

Standard form: (5x - 4y = 16)
21) Through (-1, 4), parallel to (y = -2x - 3)
Standard form: (2x + y = -10)
22) Through (4, 1), perpendicular to
Standard form:

23) Through (4, 1), perpendicular to (y = x - 1)
Standard form: (x - y = -3)
24)
Standard form: (5x - 7y = -17)
25) Through (-2, -2), slope -1
Standard form: (x + y = -4)
26) Through (1, 0) and (2, 3)
Standard form: (3x - y = -3)
27) Through (5, 5), perpendicular to
Standard form: (5x + 6y = 35)