The graph of every linear equation in two variables is a................
Answers
The graph of every linear equation in two variables is a STRAIGHT LINE.
Some important points about a linear equation in two variables:
1. Linear Equations:
An equation, which can be expressed in ax + by + c = 0, where a, b and are real numbers and a and b are not equal to zero i.e a ≠ 0 and b ≠ 0, is called a linear equation in two variables.
2. A linear equation has no effect when:
(i) Equal number is added or subtracted from both sides of the equation.
(ii) Both sides of the equation are multiplied or divided by the same non-zero number.
3. A linear equation in 2 variables has infinitely many solutions.
4. The graph of linear equations in 2 variables is always a straight line.
[One example of a graph of linear equation in 2 variables is in the attachment]
Learn more on Brainly:
Draw the graph of each of the following linear equations in two variables:
(i) x + y = 4
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Draw the graphs of the equations x − y + 1 = 0 and 3x + 2y − 12 = 0. Determine the coordinates of the vertices of the triangle formed by
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