MHB [ASK] Reflection of a Line by Another Line

  • Thread starter Thread starter Monoxdifly
  • Start date Start date
  • Tags Tags
    Line Reflection
Click For Summary
The discussion focuses on finding the reflection of the line 5x - 7y - 13 = 0 across the line y = -x. Participants explore substituting y = -x and x = -y into the original line equation. The correct reflection is determined to be 7x + 5y - 13 = 0. The contributor expresses surprise at the complexity of this problem compared to others. The conversation highlights the importance of understanding line reflections in geometry.
Monoxdifly
MHB
Messages
288
Reaction score
0
The reflection of the line 5x - 7y - 13 = 0 by the line y = -x is ...
A. 7x + 5y - 13 = 0
B. 7x + 5y + 13 = 0
C. 7x - 5y - 13 = 0
D. 7x - 5y + 13 = 0
E. 7y + 5x + 13 = 0

This one I totally have no idea. Like, at all.
 
Mathematics news on Phys.org
If we let:

$$y=-x$$

and

$$x=-y$$

in the given line, what do we obtain?
 
-5y + 7x - 13 = 0?
 
Monoxdifly said:
-5y + 7x - 13 = 0?

Correct. :)
 
I can't believe that out of the 4 questions I asked tonight, the one I found the hardest was the one with the simplest step.
 

Thread 'Significant figures for inherently bound values'

I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...
View full post »

Similar threads

MHB Number patterns and sequences - Tn Term
  • · Replies 1 ·
Replies
1
Views
2K
MHB Substitution Method to solve linear simultaneous equation
  • · Replies 1 ·
Replies
1
Views
1K
MHB [ASK] polynomial f(x) divided by (x - 1)
  • · Replies 2 ·
Replies
2
Views
2K
MHB Evaluate the constant in polynomial function
  • · Replies 7 ·
Replies
7
Views
1K
MHB [ASK] Equation of a Circle
  • · Replies 4 ·
Replies
4
Views
2K
MHB What Is the Equation of a Line Parallel to 4x + 5y = 20 Passing Through (0,0)?
  • · Replies 28 ·
Replies
28
Views
4K
MHB Apc.1.1.13 what is the prime factorization of 30,030
  • · Replies 3 ·
Replies
3
Views
1K
B Advice to obtain the domain of compound functions
  • · Replies 2 ·
Replies
2
Views
1K
MHB 205.2.6.1-2 another implicit problem with tangent line.
  • · Replies 1 ·
Replies
1
Views
1K
B How can I properly distribute fractions when solving a set of linear equations?
  • · Replies 7 ·
Replies
7
Views
2K