Slope intercept form is y=mx+b where m is the slope and b is the y intercept. To graph, make sure the line collides with the y axis at the y intercept (-2) and that you move 3 units in the y direction for every 2 units in the x direction.

**Answer:**

**Step-by-step explanation:**

For Mr Rowley,

Ratio of Number of home works to the number of exit tickets =

=

= **6:7**

For Ms Rivera,

Ratio of Number of home works to the number of exit tickets =

=

= **6:7**

Since, both the ratios are same, fractions will be proportional.

3x - 2y = -5 .....multiply by 2

-6x + 7y = 22

------------------

6x - 4y = -10 (result of multiplying by 2)

-6x + 7y = 22

-----------------add

3y = 12

y = 12/3

y = 4

3x - 2y = -5

3x - 2(4) = -5

3x - 8 = -5

3x = -5 + 8

3x = 3

x = 3/3

x = 1

solution is (1,4)

**Answer:**

**Step-by-step explanation:**

The equation is y = Mx + b

so the slope is -1/4 and the y intercept is (0,9)

**Answer:**

m = 16

**Step-by-step explanation:**

2(4m - 5) - (6m - 11) = 33 (Given)

8m - 10 - 6m + 11 = 33 (Distribute)

2m + 1 = 33 (Combine like terms)

2m = 32 (Subtract 1 on both sides)

m = 16 (Divide 2 on both sides)

You can check by substituting your answer into the equation:

2(4(16) - 5) - (6(16) - 11) = 33

2(64 - 5) - (96 - 11) = 33

2(59) - (85) = 33

118 - 85 = 33

33 = 33