Question
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other$.y = x - 3,y = - x + 5$

Answer

To draw the graph of $y = x - 3$ and $y = - x + 5$ follows the steps:
First, prepare a table as below:
$X$ $- 1$ $0$ $1$
$Y = x - 3$ $- 4$ $-3$ $- 2$
$Y = - x + 5$ $6$ $5$ $4$
Now sketch the graph as shown:

From the graph it can verify that the lines are perpendicular.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A man travels 600 km partly by train and partly by car. If he covers 120 km by train and the rest by car, it takes him 8 hours. But, if he travels 200 km by train and the rest by car, he takes 20 minutes longer. Find the speed of the car and that of the train.
Solve, using cross-multiplication $:4x - 3y - 11 = 0,6x + 7y - 5 = 0$
Find the area of an isosceles triangle with perimeter is $36 \ cm$ and the base is $16 \ cm.$
The heights of boys in a school are given below :
Height (in cm) 140 - 145145 - 150150 - 155155 - 160160 - 165
Number of boys 2432162044
Draw a frequency polygon to represent the above data.
If $\left(x+\frac{1}{x}\right)=6$, find the values of  $\left(x^2-\frac{1}{x^2}\right)$.
Solve the following pairs of equations:$\frac{x+y}{x y}=2;\frac{x-y}{x y}=6$
In the following figures, the sides $A B$ and $B C$ and the median $A D$ of $\triangle A B C$ are equal to the sides $P Q$ and $Q R$ and median $P S$ of the $\triangle P Q R$.Prove that $\triangle A B C$ and $\triangle P Q R$ are congruent.Image
Arrange $\frac{5}{8},-\frac{3}{16},-\frac{1}{4}$ and $\frac{17}{32}$ in descending order of their magnitudes.Also, find the sum of the lowest and largest of these fractions. Express the result obtained as a decimal fraction correct to two decimal places.
Given $\log _x 25-\log _x 5=2-\log _x\left(\frac{1}{125}\right)$; find $x$
Show that:$\frac{1}{3-2 \sqrt{ } 2}-\frac{1}{2 \sqrt{ } 2-\sqrt{ } 7}+\frac{1}{\sqrt{ } 7-\sqrt{ } 6}-\frac{1}{\sqrt{ } 6-\sqrt{ } 5}+\frac{1}{\sqrt{ } 5-2}=5$