Question

The equation ax+by+c=0 represents a line parallel to x-axis if​

Answer 1

Answer:

a=0

Step-by-step explanation:

ax+by+c=0 represents a line parallel to x-axis:

ax+by+c=0

Or by=-ax-c

y=-a/b x+c/a

Comparing with std form y=mx +c

so m=-a/b

for any line to be parrallel to x axis

m=tan0=0

so -a/b=0

a=0

Answer 2

SOLUTION

TO DETERMINE

The equation ax + by + c = 0 represents a line parallel to x-axis if ____

EVALUATION

Here the given equation of the line is

ax + by + c = 0 - - - - - - (1)

This is the general equation of a line

Now we know that equation of any line parallel to x axis is y = k

So Equation 1 will represents the equation of any line parallel to x axis if

Coefficient of x = 0 & coefficient of y ≠ 0

Which gives a = 0 & b ≠ 0

FINAL ANSWER

The equation ax+by+c=0 represents a line parallel to x-axis if a = 0 & b ≠ 0

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