Answer: 
<u>Step-by-step explanation:</u>

Restriction: 6x + 3 ≠ 0 <em>denominator cannot be zero</em>
<u> -3 </u> <u> -3 </u>
6x ≠ -3
<u> ÷6 </u> <u>÷6 </u>
x ≠ 
Answer:

Step-by-step explanation:
The given line is defined by:
, where we see that the slope is 5 and the y-intercept 1.
In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.
"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal:
.
We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:

we require then that when
, the value of
.
Therefore: 
Then our final answer is that the new line should have the form: 
The rule that describes this transformation is (x - 3, y + 1)
Step-by-step explanation:
Step 1:
The points of the trapezoid are
M; (-3, -1),
N; (-4, 3),
P; (1, 3), and
Q; (-1, -1).
Step 2:
To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.
In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.
Combining these we get (x, y) becomes (x - 3, y + 1).