Answer:

Step-by-step explanation:
In order to find the slope of a line you must find where the points intersect, use the formula for slope, substitute values, and simplify if needed.
In this case we were already given the points for slope:


Slope formula:

Now substitute:

Solve using KCC: (Keep, Change, Change)


=
Because the slope isn't a negative you do not need to simplify the answer.
Hope this helps.
Answer:
Translate 10 units right, 9 units up
Step-by-step explanation:
translations simply take the image and move it up or down or side to side, reflections flip the image, dilation changes the dimensions of an image, and rotation rotates an image on its origin point.
Answer:
8
Step-by-step explanation:
Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.
Answer:
x = -5, 5
Step-by-step explanation:
-x^2-8=-33
Add 8 to each side
-x^2-8+8=-33+8
-x^2 = -25
Divide each side by -1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
The short answer is: yes, the answer to "How do you do?" is "How do you do?" It is also acceptable to reply "I'm fine, and you?" and similar variations. However -- and this is important to the etiquette side of things and not so much the language side -- "how do you do?" is actually not a question!