1.

4x-2y+6=0 I want to solve this equation completely to graph it...

Answer»

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

GIVEN equation of line is

\rm :\longmapsto\:4x - 2y + 6 = 0

can be rewritten as

\rm :\longmapsto\:4x + 6 = 2y

On dividing both sides by 2, we get

\rm :\longmapsto\:y = 2x + 3

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

\rm :\longmapsto\:y = 2(0) + 3

\rm :\longmapsto\:y =0 + 3

\rm :\longmapsto\:y =3

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

\rm :\longmapsto\:y = 2(1) + 3

\rm :\longmapsto\:y = 2+ 3

\rm :\longmapsto\:y = 5

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

\rm :\longmapsto\:y = 2(2) + 3

\rm :\longmapsto\:y = 4 + 3

\rm :\longmapsto\:y = 7

Hᴇɴᴄᴇ,

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

\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 3 \\ \\ \sf 1 & \sf 5 \\ \\ \sf 2 & \sf 7 \end{array}} \\ \end{gathered}

➢ Now draw a GRAPH USING the points (0 , 3), (1 , 5) & (2 , 7)

➢ See the attachment graph.


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