Question

The line passing through the points (- 4, 5 )  and (- 5, 7 ) also passes through the point ( l, m ) ,     then    2l+m+3 is equal to ...​

Answer 1

SOLUTION

GIVEN

The line passing through the points (- 4, 5 )  and (- 5, 7 ) also passes through the point ( l, m )

TO DETERMINE

The value of 2l + m + 3

EVALUATION

Here the given points are (- 4, 5 )  and (- 5, 7 )

The equation of the line passing through the points is

$\displaystyle \sf{ \frac{y - 5}{x + 4} = \frac{7 - 5}{ - 5 + 4} }$

$\displaystyle \sf{ \implies \frac{y - 5}{x + 4} = \frac{2}{ - 1} }$

$\displaystyle \sf{ \implies 2x + 8 = - y + 5}$

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

Now the line passes through the point ( l , m )

Thus we get

$\displaystyle \sf{ \implies 2l +m+ 3 = 0}$

FINAL ANSWER

$\displaystyle \sf{ 2l +m+ 3 = 0}$

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