Question

How coincident lines are identified? ​

Answer 1

Answer:

If a line is written as Ax + By = C, the y-intercept is equal to C/B. If each line in the system has the same slope but a different y-intercept, the lines are parallel and there is no solution. If each line in the system has the same slope and the same y-intercept, the lines are coincident

Plz mark brainliest

Step-by-step explanation:

Answer 2

Answer:

Well, I think you mean two lines that lie one on top of the other.

There is a slight difference between two parallel lines and two coincident lines.

Parallel lines have space between them while coincident don't. Parallel lines do not have points in common while coincident ones have ALL points in common!!!



When you consider the mathematical form y=ax+b for your lines you have:

1) Parallel lines differs only in the real number b and have the same a (slope).

For example:

The two lines:

y=3x+3 and y=3x+5 are parallel.

The two lines described by these equations have the same inclination but cross the y axis in different points;



Step-by-step explanation:

To solve a system graphically, find the point of interesection of the lines.

    Because it is not always easy to determine where the graphs intersect, this method may not always be used, so, another system must be used to find the point of interesection of the lines, the solution.

sample graphsystem:x-2y=-2

3x-2y=2x-2y=-2

2x-2y=2x-2y=-2

4x-8y=-8described as:independentinconsistentdependentlines are:intersectingparallelcoincidentsolution:(2,2),

the point of interesectionx=8/0 and y=4/0 are

undefined, because

division by 0 is undefined.

The is no solution.

The lines don't intersect.SOME of the solutions

are:(-2,0), (0,1), (2,2).

Solve A System Mentally

    Study the chart before reading about mentally solving a system.

    A system may be solved mentally, only if one can recognize parallel or coincident lines.

    If one line is a multiple of the other, the lines are coincident and have all points in common. An ordered pair for one point is an ordered pair for the other line and a solution to the system. The x-intercept, (?, 0), or the y-intercept, (0,?) are good points to obtain to solve the system.

    If lines are parallel, they do not intersect so the system has no solution. Recognizing that lines are parallel even before they are graphed is very time efficient.

    If a line is written y= mx + b, the y-intercept is b and the slope is m.

    If a line is written as Ax + By = C, the slope of the line is equal to -A/B.

    If a line is written as Ax + By = C, the y-intercept is equal to C/B.

    If each line in the system has the same slope but a different y-intercept, the lines are parallel and there is no solution.

    If each line in the system has the same slope and the same y-intercept, the lines are coincident.