9/28 Solve Systems by Graphing Practice

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you solve a system of equations by graphing?

Back

To solve by graphing, plot both equations on the same graph and identify the point(s) where they intersect.

Front

What is the solution to the system of equations y = 6x - 4 and y = -x + 3?

Back

(1, 2)

Front

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

Back

It means the lines are parallel and do not intersect.

Front

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

Back

(-2, 0)

Front

What is the intersection point of the equations y = x and y = -x?

Back

(0, 0)

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.