If the line ax -3 y -9-0 is parallel to 4 x -6 y -13-0- then the value of -a- is equal toA- intersectingB- PerpendicularC- EqualD- Parallel

The correct option is D ParallelThe slope of line ax+3y+9 = 0 is equal to a/3 The slope of line 4x+6y+13 = 0 is equal to 4/6 If two lines are parallel t ...

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Standard X

Mathematics

Slope of a Line

If the line a...

Question

If the line $a x + 3 y + 9 = 0$ is parallel to $4 x + 6 y + 13 = 0$ , then the value of 'a' is equal to ___.

Perpendicular

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Parallel

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Equal

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intersecting

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Solution

The correct option is B Parallel
The slope of line $a x + 3 y + 9 = 0$ is equal to $\frac{- a}{3}$
The slope of line $4 x + 6 y + 13 = 0$ is equal to $\frac{- 4}{6}$

If two lines are parallel then their slopes are equal.
Hence, $\frac{- a}{3}$ = $\frac{- 4}{6}$
$a = \frac{(- 3) (4)}{- 6}$
$a = 2$

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If the line ax+3y+9=0 is parallel to 4x+6y+13=0, then the value of 'a' is equal to ___.

The correct option is B ParallelThe slope of line ax+3y+9=0 is equal to −a3 The slope of line 4x+6y+13=0 is equal to −46 If two lines are parallel then their slopes are equal. Hence, −a3 = −46 a=(−3)(4)−6 a=2

If the line $a x + 3 y + 9 = 0$ is parallel to $4 x + 6 y + 13 = 0$ , then the value of 'a' is equal to ___.

The correct option is B Parallel
The slope of line $a x + 3 y + 9 = 0$ is equal to $\frac{- a}{3}$
The slope of line $4 x + 6 y + 13 = 0$ is equal to $\frac{- 4}{6}$

If two lines are parallel then their slopes are equal.
Hence, $\frac{- a}{3}$ = $\frac{- 4}{6}$
$a = \frac{(- 3) (4)}{- 6}$
$a = 2$