Question

Draw the graph of line 2x + y = 13. Is the point (9, –1) lies on the line? please answer fast

Answer 1

$\large\underline{\sf{Solution-}}$

Given equation of line is

$\red{\rm :\longmapsto\:2x + y = 13}$

can be rewritten as

$\red{\rm :\longmapsto\:y = 13 - 2x}$

Substituting 'x = 0' in the given equation, we get

$\green{\rm :\longmapsto\:y = 13 - 2 \times 0}$

$\green{\rm :\longmapsto\:y = 13 - 0}$

$\green{\rm :\longmapsto\:y = 13}$

Substituting 'x = 1' in the given equation, we get

$\blue{\rm :\longmapsto\:y = 13 - 2 \times 1}$

$\blue{\rm :\longmapsto\:y = 13 - 2}$

$\blue{\rm :\longmapsto\:y = 11}$

Substituting 'x = 2' in the given equation, we get

$\purple{\rm :\longmapsto\:y = 13 - 2 \times 2}$

$\purple{\rm :\longmapsto\:y = 13 - 4}$

$\purple{\rm :\longmapsto\:y = 9}$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\pink{\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 13 \\ \\ \sf 1 & \sf 11 \\ \\ \sf 2 & \sf 9 \end{array}} \\ \end{gathered}}$

➢ Now draw a graph using the points.

➢ See the attachment graph.

From graph, we conclude that the point (9, - 1) didn't lies on the line.