<u><em>0.00266666667</em></u> m / min.
Answer:
1/9
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Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
Answer: (14, 5)
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Explanation:
Translating 5 units to the right means x becomes x+5. Whatever the x coordinate is, we add on 5.
Translating 4 units down means we go from y to y-4.
Overall, the point (x,y) becomes (x+5, y-4).
We can write the compact notation 
So for the specific point given, we can say:

The point (9,9) shifts to (14, 5)
Answer:
y = -4x + 19
Step-by-step explanation:
We will use the linear equation y = mx + c for this
m is our slope and c is our offset (y-intercept)
We are informed that our slope is -4 so
y = -4x + c
To find the equation of a line passing through the point (5,-1) we simply plug in our values into our equation
-1 = -4(5) + c
Then we can find c
-1 = -20 + c
19 = c
Now that we have our m and c, we can form an equation of a line that passes through our point:
y = -4x + 19