Question

Draw the graph of the equations. 3x-y=5

Answer 1

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

Given equation of line is

$\rm :\longmapsto\:3x - y = 5$

can be rewritten as

$\rm :\longmapsto\:y = 3x - 5$

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

$\rm :\longmapsto\:y = 3 \times 0 - 5$

$\rm :\longmapsto\:y = 0 - 5$

$\bf\implies \:y = - 5$

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

$\rm :\longmapsto\:y = 3 \times 1 - 5$

$\rm :\longmapsto\:y = 3 - 5$

$\bf\implies \:y = - 2$

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

$\rm :\longmapsto\:y = 3 \times 2 - 5$

$\rm :\longmapsto\:y = 6 - 5$

$\bf\implies \:y = 1$

Hᴇɴᴄᴇ,

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

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

➢ Now draw a graph using the points (0 , - 5), (1 , - 2) & (2 , 1)

➢ See the attachment graph.