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2025 National One Eighth mathematics Topic 45 Free

Reflections and transformations in coordinate geometry

Reflection of the line $5x+3y=15$ in the line $y=x$ · Sub-topic 1

ONE EIGHTH CONTEST 2025

Prempeh College - 62 points

Suhum SHTS - 37 points

Benkum SHS - 13 points


ONE EIGHTH CONTEST 2025

Mfantsipim School - 53 points

Anglican SHS, Kumasi - 37 points

Sogakope SHS - 24 points


ONE EIGHTH CONTEST 2025

Adisadel College - 82 points

St. Hubert Seminary SHS - 24 points

Serwaa Nyarko Girls' SHS - 24 points


ROUND 2

NEXT QUESTION

QUESTION

Find the equation of the line $5x+3y=15$ after a reflection in the line $y=x$

SOLUTION

SWAP THE VARIABLES AND YOU ARE DONE

$5y+3x=15$


PRACTICE QUESTIONS

Find the equation of the line after a reflection in the line $y=x$.


1. $4x+2y=21$

ANSWER: $2y+4x=21$


SOLUTION

Reflection in $y=x$ swaps $x$ and $y$.

$4x+2y=21$

Replace $x$ by $y$ and $y$ by $x$:

$4y+2x=21$


2. $5x-2y=100$

ANSWER: $-2y+5x=100$


SOLUTION

Reflection in $y=x$ swaps $x$ and $y$.

$5x-2y=100$

Replace $x$ by $y$ and $y$ by $x$:

$5y-2x=100$


3. $3x+7y=12$

ANSWER: $7y+3x=12$


SOLUTION

Reflection in $y=x$ swaps $x$ and $y$.

$3x+7y=12$

Replace $x$ by $y$ and $y$ by $x$:

$3y+7x=12$


4. $-2x+3y=8$

ANSWER: $3y-2x=8$


SOLUTION

Reflection in $y=x$ swaps $x$ and $y$.

$-2x+3y=8$

Replace $x$ by $y$ and $y$ by $x$:

$-2y+3x=8$


5. $6x-5y=30$

ANSWER: $-5y+6x=30$


SOLUTION

Reflection in $y=x$ swaps $x$ and $y$.

$6x-5y=30$

Replace $x$ by $y$ and $y$ by $x$:

$6y-5x=30$


6. $x+9y=-4$

ANSWER: $9y+x=-4$


SOLUTION

Reflection in $y=x$ swaps $x$ and $y$.

$x+9y=-4$

Replace $x$ by $y$ and $y$ by $x$:

$y+9x=-4$