Answer:
the third option
Step-by-step explanation:
Answer:
Here's what I get.
Step-by-step explanation:
When you dilate an object by a scale factor, you multiply its coordinates by the same number.
If the scale factor is 4, the rule is (x, y) ⟶ (4x, 4y)
Your table then becomes
![\begin{array}{lcl}\textbf{Vertices of}& \, & \textbf{Vertices of}\\\textbf{VWXY}& \, & \textbf{V'W'X'Y'}\\V(-1 ,1) & \quad & V'(-4, 4)\\W(-1, 2) & \quad & W'(-4, 8)\\X(2, -1) & \quad & X'(8 ,-4)\\Y(2, 2) & \quad & Y'(8, 8)\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Blcl%7D%5Ctextbf%7BVertices%20of%7D%26%20%5C%2C%20%26%20%5Ctextbf%7BVertices%20of%7D%5C%5C%5Ctextbf%7BVWXY%7D%26%20%5C%2C%20%26%20%5Ctextbf%7BV%27W%27X%27Y%27%7D%5C%5CV%28-1%20%2C1%29%20%26%20%5Cquad%20%26%20V%27%28-4%2C%204%29%5C%5CW%28-1%2C%202%29%20%26%20%5Cquad%20%26%20W%27%28-4%2C%208%29%5C%5CX%282%2C%20-1%29%20%26%20%5Cquad%20%26%20X%27%288%20%2C-4%29%5C%5CY%282%2C%202%29%20%26%20%5Cquad%20%26%20Y%27%288%2C%208%29%5C%5C%5Cend%7Barray%7D)
The diagram below shows figure VVXY as a green bow-tie and its image V'W'X'Y' in orange.
The scale factor is greater than one, so the dilation is an enlargement.
First you have to find the slope with the equation y2 - y1 / x2 - x1 , then once you have found the slope (slope = -2) you simply plug it into the point slope formula. y-0 = -2(x-5) solving it algebraically you should arrive at Y=-2x+10. (the 5 and 0 were plugged in are two of the X and Y points of the line which is why we plugged them into the X and Y values of the equation)
-x on both sides to get
x=15