Question

If a linear equation in two variables is consistent, then the lines represented by both equations are:

a) Parallel

b) Perpendicular

c) Coincident

d) Skew

Answer 1

If a linear equation in two variables is consistent, then the lines represented by both equations are c) coincident.

Step-by-step explanation:

If a linear equation in two variables is consistent, then the lines represented by both equations are coincident. This means that the lines are identical and intersect at every point.

When the equations represent coincident lines, they have the same slope and y-intercept.

For example, if the equations are y = 2x + 3 and 2y = 4x + 6, both equations simplify to y = 2x + 3. Therefore, the answer is option c) coincident.