Draw the graph of the linear equation 2x+y=5. Find the points where the line meets the x-axis and y-axis from the graph.

Dear Student!

The given linear equation is 2*x* + *y* = 5.

2*x* + *y* = 5

∴ *y* = 5 – 2*x*.

When *x* = 0, *y* = 5 – 2 × 0 = 5 – 0 = 5

When *x* = 1, *y* = 5 – 2 × 1 = 5 – 2 = 3

When *x* = 2, *y* = 5 – 2 × 2 = 5 – 4 = 1

Thus, we have the following table,

x | 0 | 1 | 2 |

y | 5 | 3 | 1 |

The graph of the given equation is shown as,

From the graph, we observe that

Line intersect the *x-*axis at .

Line intersect the *y*-axis at (0, 5).

Cheers!

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