Question

The graph of the equation of the form ax+by+c=0 where a, b are non-zero number, represents:
A.A triangle
B.A ray
C.a straight line
D.A line segment

Answer 1

Hint: -In such questions, one is advised to use a graph and plot the graph of the function to see the shape of the function at different points or values of x which is the input.
We can also eliminate the options and then get the right solution to the question.

Complete step-by-step answer:
As mentioned in the question, we have to find the value or the shape of the graph that is represented by the function that is given in the hint as ax+by+c=0.
Now, as mentioned in the hint, we can eliminate the options as follows
As a triangle is made up of three straight lines, hence, it cannot be the correct answer.
Also, we can put infinite values in the function and we will get infinite outputs for each input, hence, the answer cannot be a ray or a line segment.
Hence, we can conclude that the function represents a straight line.

Note -The students can also get the correct answer by plotting the graph on a graph paper to get the right answer as follows

(Where a and b are given values equal to 1 as 1 is a non-zero number as mentioned in the question)
This method is more feasible.