Write whether the following statement is True | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The given equation is $x + y = 0$,which can be rewritten as $y = -x$.Any point on the graph of $y = -x$ must have $x$ and $y$ coordinates that are

Vedclass · Accepted Answer

True

Vedclass · Answer

(A) The given equation is $x + y = 0$,which can be rewritten as $y = -x$.Any point on the graph of $y = -x$ must have $x$ and $y$ coordinates that are additive inverses of each other (i.e.,they have opposite signs and the same absolute value).Looking at the graph,we can identify two points: $(-1, 1)$ and $(-3, 3)$.For the point $(-1, 1)$,$x = -1$ and $y = 1$. Substituting these into the equation $x + y = 0$,we get $-1 + 1 = 0$,which is true.For the point $(-3, 3)$,$x = -3$ and $y = 3$. Substituting these into the equation $x + y = 0$,we get $-3 + 3 = 0$,which is true.Since both points satisfy the equation and two points determine a unique line,the given statement is True.

Write whether the following statement is True or False. Justify your answer:
The graph given below represents the linear equation $x + y = 0$.

Similar Questions

The point of the form $(a, -a)$ always lies on the line

For the equation $3x + 2y = 18$,if $x = 5$,then $y = \ldots$ (in $.5$)

If $(2,0)$ is a solution of the linear equation $2x + 3y = k,$ then the value of $k$ is

Write four solutions for the following equation: $2x + 3y = 7$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Write whether the following statement is True or False. Justify your answer:The graph given below represents the linear equation $x + y = 0$.