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