Answer:
3x +8y = -17
Step-by-step explanation:
The point-slope equation is a good place to start.
y -k = m(x -h) . . . . . equation through (h, k) with slope m
Filling in your numbers gives ...
y +4 = -3/8(x -5)
Multiplying by 8, we get
8y + 32 = -3x + 15
Adding 3x-32 puts this in standard form.
3x + 8y = -17
_____
Standard form is ...
ax +by = c
where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)
A = 15 3 x 15 + 9 = 54 keep up the good work!
When a function is translated, it means the function is moved away from its original position.
<em>The function g(x) is: </em>
<em />
Give that:

The rule of translation 5 units left is:

So, we have:

The rule of translation 3 units down is:

So, we have:

Hence, the function g(x) is: 
Read more about translations at:
brainly.com/question/12463306