-7x + y = -6 |add 7x to both sides
y = 7x - 6
the slope: m = 7
the y-intercept: y = -6
Because There are 3 feet in 1 yard, so 3 feet and 1 yard are the same thing, hence a 1:1 ratio.
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
Step-by-step explanation:
The question we have at hand is, in other words,
- where we have to solve for the value of 
If we have to isolate here, then we would have to take the inverse of the following matrix ...
... so that it should be as follows ... 
Therefore, we can conclude that the equation as to solve for " " will be the following,
- First find the 2 x 2 matrix inverse of the first portion,
= 
= 
= 
At this point we have to multiply the rows of the first matrix by the rows of the second matrix,
,
- Simplifying this, we should get ...
... which is our solution.
