Answer:
Step-by-step explanation:
Slope intercept formula is y=mx+b
(m) is slope
(b) is the y intercept
We'll find slope first.
slope formula is
y2 and x2 are the y and x values of the second equation and y1 and x2 are the y and x values of the first equation.
So we just put the given values into our equation.
Simplify
Now we put this into our y=mx+b
y=0/-3x+b
now we need the (b)
to do this we take the values of one of the coordinates (doesn't matter which) and replace the (y) and (x) in our equation with them.
Solve
1=0+b
b=1
Put this in our formula
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
reflection and translation.
Given:
The different transformation in the options.
To find:
The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.
Solution:
In option 1,
It represents reflection across the line y=x.
In option 2,
It represents reflection across the x-axis.
In option 3,
It represents dilation by scale factor 4 and the center of dilation is at origin.
In option 4,
It represents translation 2 units right and 5 units down.
We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.
So, the perimeter of the figure and its image are same in the case of reflection and translation.
But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.
Therefore, the correct option is 3.
