446776654332251010102003404
Answer:
A'(-6,4)
Step-by-step explanation:
A transformation of (x, y) → (x-3, y + 2) means:
- x coordinate gets translated 3 units left [we subtract 3 from original x coordinate]
- y coordinate gets translated 2 units up [we add 2 to original y coordinate]
The original x coordinate is -3 so we subtract 3 from it to get:
New x = -3 -3 = -6
The original y coordinate is 2 so we add 2 to get:
New y = 2 + 2 = 4
So A' is
A'(-6,4)
We observe that a line will pass through 3 points, but to find a slope we only need two.
We see that it passes through points (assuming the scale of graph is 1 : 1)
and
.
We can use slope formula that applies for any line and produce the same slope for any two different points on the line

So the slope is -1 also it intersects y-axis at
so the general form of the linear function is

That is in your case

Hope this helps.
To turn decimals into fractions all you have to do is say it in your head!
For example: The decimal 0.284 is two hundred eighty four thousandths and that would equal to 284/1000