Question

if a eq axn+byn+c=0 represent a straight line find value Of n= __

Answer 1

Answer:

value of n is 1.

Step-by-step explanation:

An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b are not both zero, is called a linear equation in two variables.

The degree of a linear equation is 1. Therefore, value of n is 1.

Answer 2

For n = 1, the equation  ax^n + by^n + c =0 represents a straight line.

• A straight line is defined as the equation of a figure whose slope is the same at any point of the equation for any values of x and y.
• A straight cuts the x-axis and the y-axis for a maximum of 1 time. It is also possible that a line cannot touch one of the axes.
• The powers of x and y in the equation of the straight line are always 1 irrespective of their coefficients.
• Consider the equationax^n + by^n + c =0,

=> For n = 1, the equation is a straight line.

=> For n = 2, the equation forms an equation that is not either straight or quadratic/cubic.

• The line ax + by + c = 0 passes through the points ( -c/a, -b/a) respectively.

Hence, the value of n is 1, the equation ax + by + c = 0 represents a straight line.