Systems Flashcard #1

Front

A system of linear equations with the SAME slope and DIFFERENT y-intercept has ______ solutions.

Back

no solutions

Front

Which system of equations has ONE solution? (hint: different slopes) y = 5x -8 and y = -3x + 2

Back

This system has one solution.

Front

A system of linear equations with the SAME slope and SAME y-intercept has ______ solutions.

Back

infinitely many

Front

Write the equation of the line that has a slope of 2 and passes through the points (0, -5) and (4, 3).

Back

y = 2x - 5

Front

Solve the system of equations using the SUBSTITUTION method: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Front

What is the slope of a line that is parallel to the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = 2x - 4?

Back

The slope is -1/2.

Front

If two lines intersect at a point, how many solutions does the system of equations have?

Back

One solution.

Front

What does it mean if a system of equations has no solutions?

Back

The lines are parallel and never intersect.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.