Question

draw a graph of y=x-4 using the graph find the values of y when x= 1 and the values of x when y = -5

Answer 1

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

Given linear equation is

$\rm :\longmapsto\:y = x - 4$

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

$\rm :\longmapsto\:y = 0 - 4$

$\bf\implies \:y = - \: 4$

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

$\rm :\longmapsto\:0 = x - 4$

$\bf\implies \:x = 4$

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

$\rm :\longmapsto\:y = 2 - 4$

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

Hᴇɴᴄᴇ,

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

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf - 4 \\ \\ \sf 2 & \sf - 2 \\ \\ \sf 4 & \sf 0 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , - 4), (2 , - 2) & (4 , 0)

➢ See the attachment graph.

From graph, we conclude that

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