System of Equations

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What is the solution of the system of equations represented by the point (1, -1)?

Back

(1, -1) is the solution.

Front

How do you find the slope of a line that passes through two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (-3, -4) and (7, 6)?

Back

1.

Front

When does a system of equations have no solutions?

Back

When the slopes of the lines are the same but the y-intercepts are different.

Front

Will the solution (-3, -7) make the following system of equations a true statement? y = 4x + 5 and y = x - 4

Back

YES.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for two lines to be intersecting?

Back

They cross at one point, which is the solution to the system.

Front

What is the graphical representation of a consistent system of equations?

Back

Two lines that intersect at exactly one point.

Front

What is the graphical representation of an inconsistent system of equations?

Back

Two parallel lines that never intersect.