Question

Draw the graph of given equations, (i) $x+2y=10$; (ii) $2x+y+5=0$
Answer the given question.

Write the co-ordinates of a point where the first line cuts the Y-axis.

Answer 1

Given,
$x+2y=10$

$⟹y=5-\frac{x}{2}$

Substituting different values of $x$ to get corresponding values of $y$, we get ,

$(0,5),(2,4),(-2,6),(4,3),(-4,7)$

Plotting these points on the graph, we get the graph of the equation, $x+2y=10$

Similarly,

Given second equation,

$2x+y+5=0$

$⟹y=-5-2x$

Substituting different values of $x$ to get corresponding values of $y$, we get

$(0,-5),(1,-7),(-1,-3),(2,-9),(-2,-1)$

Plotting these points on the graph, we get the graph of the equation, $2x+y+5=0$

The first line cuts the $y-$ axis at $(0,5)$