Direction: Determine whether each ordered pairis a solution to the given inequality Write YES if it is and NO if it is not.
An example is done for you
1.2x - 3y >5 NO a. (-1,0)
b. (2.1)
c. (6,2)
2x - 3y > 5
2(-1)-3(0) >5
2-05
-2 > 5
2. 3y + rs 12
c.(-1,-2)
b. (4,6)
a. (3.-2)
False
b. (7,5)
c. (3,-5)
a. (5.-3)
3. y < 3x - 15
Lesson Graphing a Linear Inequality in​

Step-by-step explanation:

1).b).  2x - 3y > 5

   For (2, 1),

   2(2) - 3(1) > 5

    1 > 5

    False.

   So the answer is NO.

c). For (6, 2),

    2(6) - 3(2) > 5

    12 - 6 > 5

    6 > 5

    True.

    Therefore, the answer is YES.

2). a). 3y + x ≤ 12

    For (3, -2),

    3(-2) + 3 ≤ 12

    -6 + 3 ≤ 12

     -3 ≤ 12

     True.

     Therefore, answer is YES.

b). For (4, 6),

    3(6) + 4 ≤ 12

     18 + 4 ≤ 12

     22 ≤ 12

     False.

     Therefore, answer is NO.

c). For (-1, -2),

    3(-2) + (-1) ≤ 12

     -6 - 1 ≤ 12

     -7 ≤ 12

     True.

     Therefore, answer is YES.

3). a). y < 3x - 15

      For (5, -3),

      -3 < 3(5) - 15

      -3 < 0

       True.

      Therefore, answer is YES.

 b). For (7, 5),

      5 < 3(7) - 5

      5 < 21 - 5

      5 < 16

      True.

      Therefore, answer is YES.

  c). For (3, -5),

       -5 < 3(3) - 5

       -5 < 9 - 5

       -5 < 4

        True.

       Therefore, answer is YES.

y = - x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x + 2 ← is in slope- intercept form

with slope m =

Given a line with slope m then the slope of a line perpendicular to it is

= - = - = - , thus

y = - x + c ← is the partial equation

To find c substitute (2, - 2) into the partial equation

- 2 = - 5 + c ⇒ c = - 2 + 5 = 3

y = - x + 3 ← equation of line