Answer:
is there a figure for this question?
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:
1: 7 2: 3
Step-by-step explanation:
The slope-intercept form: y = mx + b
We have the slope m = 9, therefore: y = 9x + b.
Next. We have the table:
x | -5 | -2 | 1 | 3 | 4 |
y |-46|-19| 8 |26|35|
(1, 8) → x = 1, y = 8
substitute the values of x and y to the equation:
8 = 9(1) + b
8 = 9 + b |-9
b = -1
Answer: y = 9x - 1 → y-intercept is -1.
