SAT Math Flashcard #2

Front

What is the solution to a system of equations if there are infinitely many solutions?

Back

The system of equations represents the same line, meaning every point on the line is a solution.

Front

What is the slope of a line parallel to a line with slope m = 3/4?

Back

The slope of a line parallel to it is also 3/4.

Front

How do you solve a system of equations using elimination?

Back

You eliminate one variable by adding or subtracting the equations to find the value of the other variable.

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals of each other.

Front

What is the solution to the system of equations 5x + 6y = -10 and 3x - 2y = -6?

Back

The solution is (-2, 0).

Front

What is the solution to the system of equations 4x + 9y = 28 and -4x - y = -28?

Back

The solution is (7, 0).

Front

Define 'slope' in the context of a linear equation.

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m = (y2 - y1) / (x2 - x1).