Give equations of four lines passing through (2,3)

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4. Linear Equations in Two Variables

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Give the equations of four lines passing through $(2,3)$

Option A

Option B

Option C

Option D

Solution

The equation of a line passing through $(2,3)$ must have $(2,3)$ as one of the solutions. There are infinitely many equations having $(2,3)$ as one of the solutions. Four of those equations can be taken as follows

$x+y=5$

$3 x-2 y=0$

$5 x-3 y=1$

$2 x+3 y=13$

Standard 9

Mathematics

Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$2 x=3 y$

easy

Total cost of a school picnic consists of two parts $-$ bus fare ₹ $200$ and cost of snacks at the rate of ₹ $30$ per student. Representing the total number of students by $x$ and the total cost by $y,$ form the linear equation in two variables and draw its graph. If the number of students going on the picnic is $40,$ find the total cost.

hard

In a Cartesian plane, the graph of $x=0$ is $\ldots \ldots \ldots$

easy

Any point on the $y$ – axis is of the form

easy

If $(3,2)$ is one of the solutions of $5 x-a y=7,$ then $a=\ldots \ldots \ldots$

easy

Give the equations of four lines passing through $(2,3)$

Solution

Similar Questions

Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case $2 x=3 y$

In a Cartesian plane, the graph of $x=0$ is $\ldots \ldots \ldots$

Any point on the $y$ – axis is of the form

If $(3,2)$ is one of the solutions of $5 x-a y=7,$ then $a=\ldots \ldots \ldots$

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Write each of the following equations in the standard form $a x+b y+c=0$ and indicate the values of $a, b$ and $c$ in each case

$2 x=3 y$