Question

Reduce the question 5x+12y=26to three standard form of the equation of a straight line

Answer 1

$\sf\small\green{Given:-}$

• 5x + 12y = 26.

$\sf\small\green{Find:-}$

• Three standard form of the equation of a straight line.

$\sf\small\green{Solution:-}$

$\rightarrow\sf \: 5x - 12y = 60$

$\rightarrow\sf \: \dfrac{1}{60} (5x - 12y) = \frac{60}{60}$

$\rightarrow\sf \: \dfrac{5x}{60} - \frac{12y}{60} = 1$

$\rightarrow\sf \: \dfrac{x}{12} - \dfrac{y}{5} = 1$

$\rightarrow\sf \red a = 12 . \red b = - 5$

So,

x - axis ( co - coordinate = 12,0 )

y - axis ( co - coordinate = 0,5 )

Distance between two points:-

$\mapsto\sf \: \sqrt{( x_{2} - x_{1}) } + \sqrt{( y_{1} - y_{2} )} ^{2}$

$\mapsto\sf \sqrt{(12 - 0) ^{2} + (0 - ( - 5)} ^{2}$

$\mapsto\sf \: \sqrt{144 + 25}$

$\mapsto\sf \sqrt{169}$

$\dashrightarrow \fbox \red{13 \: unit}$

@keep questing