Question

10 i Draw the graph of linear equation 7x + y = 13. From the graph, find the points where the line meets the axes.​

Answer 1

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

Given equation of line is

`\sf \: 7x + y = 13 \\`

On substituting x = 0, we get

`\sf \: 0 + y = 13\\`

`\sf \: y = 13 \\`

`\bf\implies \:y = 13 \\`

On substituting x = 1, we get

`\sf \: 7 * 1 + y =13 \\`

`\sf \: 7 + y= 13 \\`

`\bf\implies \:y = 6 \\`

On substituting x = 2, we get

`\sf \: 7 * 2 + y =13 \\`

`\sf \: 14 + y= 13 \\`

`\bf\implies \:y = - 1 \\`

Hᴇɴᴄᴇ,

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

`\begin{gathered}\boxed{\begin{array}c \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 13 \\ \\ \sf 1 & \sf 6\\\\ \sf 2 & \sf - 1 \end{array}} \\ \end{gathered} \\`

☆ Now plot a graph using the above points.

☆ See the graph in attachment.

Now,

From graph, we concluded that given line meets the x - axis at (13/7, 0)