Question

find the equation of line containing point A(3,5) and having slope 2/3​

Answer 1

SOLUTION

TO DETERMINE

The equation of line containing point A(3,5) and having slope $\displaystyle \sf{ \frac{2}{3} }$

EVALUATION

Here we have to find the equation of line containing point A(3,5) and having slope $\displaystyle \sf{ \frac{2}{3} }$

So the fixed point is A(3,5)

Slope is $\displaystyle \sf{ \frac{2}{3} }$

Hence the required equation of the line is

$\displaystyle \sf{(y - 5) = \frac{2}{3}(x - 3) }$

$\displaystyle \sf{ \implies \: 3y - 15 =2x - 6 }$

$\displaystyle \sf{ \implies \: 2x - 3y + 9 = 0 }$

FINAL ANSWER

Hence the required equation of the line is

$\displaystyle \sf{ 2x - 3y + 9 = 0 }$

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