Systems of Equations and Intersections

Front

What is the solution to the system of equations y = 3x + 2 and y = -2x + 5?

Back

(1, 5)

Front

Which of the following represents a point of intersection between two lines? Where two lines are parallel, Where two lines have different y-values, Where two lines share the same x and y coordinates, Where two lines are perpendicular

Back

Where two lines share the same x and y coordinates

Front

In the system of equations y = 2x + 3 and y = -x + 6, what is the x-coordinate of the intersection point?

Back

1

Front

What does a point of intersection represent in a system of equations?

Back

A solution that satisfies both equations

Front

If two lines have no point of intersection, what does this mean?

Back

The lines are parallel.

Front

In the graph of y = 3x - 2 and y = 3x + 4, how many intersection points exist?

Back

Zero points

Front

What are the coordinates of the intersection point for y = x + 2 and y = -x + 4?

Back

(1, 3)

Front

How can you verify if a point is a solution to a system of equations?

Back

Substitute the point into both equations to see if they're true.

Front

What type of system has infinitely many solutions? Options: When lines are parallel, When lines are coincident (same line), When lines intersect at one point, When lines are perpendicular

Back

When lines are coincident (same line)

Front

The solution (2, 5) means:

Back

The x-value is 2 and y-value is 5