the graph of the equation ax+b=0 (a and b are constants and a≠0, b≠0) is
a. parallel to x axis
b. parallel to y axis
c. passing through origin
d. not passing throght origin
Answers
Answer:
letter b parrel to y axis
hope it helps
The graph of the equation ax + b = 0 is parallel to the y-axis and the line doesn't go through the origin. Options B, D are the correct answers.
The given problem can be solved using the concepts of straight lines in 2D coordinate geometry.
1. The given line is ax + b = 0.
2. The above equation of the line can also be written as follows,
=> ax + b = 0,
=> ax = -b,
=> x = (-b/a).
3. According to the properties of 2D coordinate geometry, the line x = k is parallel to the y-axis at a distance of k units, and the line y = d is parallel to the x-axis at a distance of d units.
4. From the mentioned property above, the line x = (-b/a) is parallel to the y-axis and the distance between the y-axis and the line is (b/a) units.
5. The graph of the equation x = (-b/a) goes through the point (-b/a,0) and it doesn’t go through the origin.
Thereofore Options B and D are the correct answers.