Find the equation of the straight line whose $x$ and $y$ -intercepts on the axes are given by $2$ and $3$ .

Open in App

Solution

Consider the given points.
$(2, 0)$ and $(0, 3)$

We know that the equation of the line which is passing through the points
$y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})$

So,
$y - 0 = \frac{3 - 0}{0 - 2} (x - 2)$

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

$- 2 y = 3 x - 6$

$3 x + 2 y - 6 = 0$

Hence, this is the answer.

Suggest Corrections

Similar questions

Find the equation of the straight line whose

x

and

y

-intercepts on the axes are given by

2

and

3

Find the equation of the straight line drawn through the point of intersection of the lines $x + y = 4$ and $2 x - 3 y = 1$ and perpendicular to the line cutting of intercepts 5,6 on the axes.

Q. Find the equation of the straight line whose x and y intercepts are

- \frac{2}{7}

and

\frac{3}{5}

Q. Find the equation of line whose sum of intercepts on coordinate-axes is 10 and x-intercept exceeds y-intercept by 4.

Find the equation of straight line which is parallel to $2 x + 3 y + 11 = 0$ and sum of its intercepts on the axes is 15.

Join BYJU'S Learning Program

Find the equation of the straight line whose x and y-intercepts on the axes are given by 2 and 3.

Consider the given points.(2,0) and (0,3)We know that the equation of the line which is passing through the pointsy−y1=y2−y1x2−x1(x−x1)So,y−0=3−00−2(x−2)y=3−2(x−2)−2y=3x−63x+2y−6=0Hence, this is the answer.

Find the equation of the straight line whose $x$ and $y$ -intercepts on the axes are given by $2$ and $3$ .