Answer in picture below:
Step-by-step explanation:
To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.
First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)
Now we simplify
m = 7 ÷ 9
Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)
5 = 7/9 · 4 + b
Get b on one side
5 - 28/9 = b
Simplify
b = 1 + 8/9
That makes the equation of the line y = 7/9x + (1 + 8/9)
Answer:
See Explanation
Step-by-step explanation:
The question has missing details. So, I'll solve using a general assumption.
Let one of the coordinates of the figure be

Let the scale factor be n
When dilated, the new figure is:


To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e. 
So:

Substitute n(x,y) for A';



Take for instance:

-- scale factor



To get A from A', using the analysis above


Answer:
=> 1
Step-by-step explanation:
4/5 + 1/5
=> 5/5

24/108= 6/27 (divided by 4)
6/27= 2/9 (divided by 3) or 0.222222