Question

Find if the following points lie on the given line or not

(v) $(7,-2)$ on the line $5x+7y=11$​

Answer 1

NO

Step: Put $(7,-2)$ in the equation of line

Given Point:$(7,-2)$ ​
Line: $5x+7y=11$

Put $x=7$ and $y=-2$ in the given line equation,

$L.H.S.:$
$5x+7y=5\left(7\right)+7(-2)=35-14=21$

$R.H.S.=11$

$\therefore L.H.S.\ne R.H.S.$

Hence the point $(7,-2)$ does not lie on the line $5x+7y=11$