Question

3.Draw the graph of the linear equation two variable

2x+y 5​

Answer 1

$\underline\blue{\bold{Given \: Question :- }}$

• Draw the graph of the linear equation two variable : 2x+y = 5

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$\huge \green{AηsωeR} ✍$

$\bf \:  ⟼ ❶ 2x + y = 5$

➣ To calculate the coordinates of points, which are lies on the line, are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{cccc}\bf x & \bf y \\ \frac{\qquad \qquad \qquad \qquad}{} & \frac{\qquad \qquad \qquad \qquad}{} \\ \sf 0 & \sf 5 \\ \\ \sf 2.5 & \sf 0 \end{array}} \\ \end{gathered}$

$\bf \:  ↝ For \: graph \: see \: the \: attachment.$

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$\large \red{\bf \: ⟼ Explore \: more } ✍$

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How to represent a graph of linear equation in two variables?

• Linear equation in two variables is represented graphically by the line whose points give the collection of solutions of the equation. This is called graphing linear equation.

Properties for graphing linear equation:

• 1. Linear equations have infinitely many solutions.
• 2. Every point (h, k) on the line AB gives the solution x = h and y = k.
• 3. Every point which lies on AB satisfies the equation of AB.
• 4. To draw an exact line on the graph paper you can plot as many points you like, but it is necessary to plot minimum three points.

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Note:

• 1. Linear equation in two variables has infinitely many solutions.
• 2. A graph of linear equation is always a straight line.
• 3. Every point on the straight line is the solution of the linear equation.
• 4. Equation of y-axis is x = 0. The standard form of this equation is x + 0.y = 0.
• 5. Equation of x-axis is y = 0. The standard form of this equation is 0.x + y = 0.
• 6. x = a is a graph of straight line parallel to y-axis and standard form of this equation is x + 0.y = a
• 7. y = b is a graph of straight line parallel to x-axis and standard form of this equation is 0.x + y = b.
• 8. The equation y = mx is always passing through the origin (0, 0).

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