Question

The graph of a system of two linear equations has no solution. What is true about the lines?

A.
The lines are perpendicular.
B.
The lines have the same slope, but different intercepts.
C.
The lines have the same intercept, but different slopes.
D.
The lines are on top of each other.

Answer 1

B.

The lines have the same slope, but different intercepts.

Explanation:

Slopes of parallel lines are equal and that of perpendicular lines are reciprocal with opposite signs.

When two lines are parallel they do not intersect and hence there is no solution to the linear equation. If the lines intersect at one point they have one solution.If the lines overlap each other they intersect each other in infinite points and hence will have infinite solution.

For linear equations to have no solution the lines will be parallel and the slopes will be equal that is The lines have the same slope, but different intercepts.

Option B is the right option.

Answer 2

B.The lines have the same slope, but different intercepts.
Or simply line are parallel to each other.