Given:
The point is (2,9).
It is translated 4 units to the right and 7 units up.
To find:
The coordinates of new point.
Solution:
The point is translated 4 units to the right and 7 units up. So, the rule of translation is

The point is (2,9). Using the above rule, we get


Therefore, the coordinates of new points are (6,16).
Answer:
y = 3x - 27
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 )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (6, - 9) into the partial equation
- 9 = 18 + c ⇒ c = - 9 - 18 = - 27
y = 3x - 27 ← equation of line
Step-by-step explanation:

Answer:
84.
Step-by-step explanation:
96 / (7 + 5) + 19 * 4
Use order of operations (PEMDAS* ).
Perform the operation in the parentheses first:
= 96/12 + 19*4
Now the divide and multiplication:
= 8 + 76
and finally the add:
= 84.
*PEMDAS = ParanthesesExponentsMultiplyDivideAddSubtract.