Find the intercepts cut off by the line $2 x - 3 y + 5 = 0$ on the axes.

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Solution

$x -$ intercept:Put $y = 0$
$∴ 2 x + 5 = 0$
$\Rightarrow x = \frac{- 5}{2}$ is the $x -$ intercept
$y -$ intercept:Put $x = 0$
$∴ - 3 y + 5 = 0$
$\Rightarrow y = \frac{- 5}{- 3} = \frac{5}{3}$ is the $y -$ intercept.

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Q. Find the intercepts cut off by the line

x - 3 y + 8 = 0

on the axes.

Q. Find the intercepts cut off by the line

x - 3 y + \sqrt{3} = 0

on the axes.

For what values of a a and b the intercepts cut off on the coordinate axes by the line ax + by + 8 = 0 are equal in length but opposite in signs to those cut off by the line 2x - 3y + 6 = 0 on the axes.

Q. For what values of

a

and

b

the intercepts cut off on the coordinate axes by the line

a x + b y + 8 = 0

are equal in length but opposite in signs to those cut off by the line

2 x - 3 y + 6 = 0

on the axis.

Q. For what value of

a

and

b

the intercepts cut on the co-ordinate axes by the line

a x - b y + 8 = 0

are equal in length but opposite in signs to those cut off by the line

2 x - 3 y + 6 = 0

on the axes.

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Find the intercepts cut off by the line 2x−3y+5=0 on the axes.

x−intercept:Put y=0∴2x+5=0⇒x=−52 is the x−intercepty−intercept:Put x=0∴−3y+5=0⇒y=−5−3=53 is the y−intercept.

Find the intercepts cut off by the line $2 x - 3 y + 5 = 0$ on the axes.

$x -$ intercept:Put $y = 0$
$∴ 2 x + 5 = 0$
$\Rightarrow x = \frac{- 5}{2}$ is the $x -$ intercept
$y -$ intercept:Put $x = 0$
$∴ - 3 y + 5 = 0$
$\Rightarrow y = \frac{- 5}{- 3} = \frac{5}{3}$ is the $y -$ intercept.