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1 Answer

4 votes

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)
\(x + \pi y = \pi\). 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
\(y = (5)/(4)x - 5\)

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
\(y = -(\pi)/(3)x\)

Standard form:
\(x + \pi y = \pi\)

23) Through (4, 1), perpendicular to (y = x - 1)

Standard form: (x - y = -3)

24)
\(x + 5 = (7)/(2)(x + 2)\)

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
\(y = -(5)/(6)x - 3\)

Standard form: (5x + 6y = 35)

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