The answer:
A: yes
b: no
C:yes
Answer:
(x + 13, y + 7)
Step-by-step explanation:
Hello there!
In order to find what the translation rule is, we need to find how much it move to the right/left and up/down
In this case, the line segment VW moved up 7 and to the right by 13
We can get this by checking how far apart the points are
I checked how far apart V and V prime
(V prime is the green V. When a point is primed, its just saying that the point has gone through translation, rotation, dilation, or reflection)
V is 13 units to the left of V prime and 7 units below V prime
This means that, to go from line VW to line V prime W prime, you need to shift the line up 7 units and to the right 13 units
So, the translation rule is (x + 13, y + 7)
*If you don't understand, tell me in the comments, I will try to explain further to your understanding. Thank you, and have a great rest of your day :)*
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
The true statements are:
- Lines mn and pq have the same slope
- The product of the slopes of mn and mp is -1
<h3>How to determine the true statements?</h3>
The lines are given as:
Lines mn, pq, mp, mn, nq and pq
From the question, the lines are either parallel lines or perpendicular lines
As a general rule,
Parallel lines have equal slope
This means that:
Lines mn and pq have the same slope
Assume two perpendicular lines have slopes m and n.
The relationship between their slopes is:
m * n = -1
This means that:
The product of the slopes of perpendicular lines mn and mp is -1
Hence, the true statements are (a) and (c)
Read more about parallel and perpendicular lines at:
brainly.com/question/7197064
#SPJ1
<u>Complete question</u>
Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.
Pptions:
- Lines mn and pq have the same slope
- The slope of line pq is undefined.
- The product of the slopes of mn and mp is -1
- Lines mp and mq are parallel.
