Question

Find the equation of the line joining the points P (3, 3) and Q (7, 6)

Answer 1

Answer:

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Answer 2

The equation of the line is 3x - 4y + 3 = 0

Given :

The points P (3, 3) and Q (7, 6)

To find :

The equation of the line joining the points P (3, 3) and Q (7, 6)

Solution :

Step 1 of 2 :

Write down the given points

The given points are P (3, 3) and Q (7, 6)

Step 2 of 2 :

Find the equation of the line

The equation of the line is given by

$\displaystyle \sf{ \frac{y - 6}{x - 7} = \frac{6 - 3}{7 - 3} }$

$\displaystyle \sf{ \implies \frac{y - 6}{x - 7} = \frac{3}{4} }$

$\displaystyle \sf{ \implies 3x - 21 = 4y - 24 }$

$\displaystyle \sf{ \implies 3x - 4y- 21 + 24 = 0 }$

$\displaystyle \sf{ \implies 3x - 4y + 3= 0 }$