Question

What is the graph of a linear equation in two variables?

Answer 1

The graph of a linear equation in two variables represents a straight line.

Step-by-step explanation:

• The general linear equation in two variables is ax + by + c = 0, where a, b, c are constants.

• In order to find the graph of ax + by + c = 0, simply assume a set of values for x and calculate the respective set of values for y.

• So we have a set of coordinates (x, y). Now plot the points on graph and join them.

• The graph formed will be a straight line.

Note:

See the given attachment. A linear equation 3x + 4y + 7 = 0 forms a straight line.

Answer 2

Answer:

The graph of a linear equation A x + B y = C A x + B y = C is a line. Every point on the line is a solution of the equation. Every solution of this equation is a point on this line.

Step-by-step explanation: