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 intersect?

Back

It means they have exactly one solution, which is the point where they cross.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

How do you find the slope of a line from an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What does it mean if two lines are parallel?

Back

They have the same slope and will never intersect.

Front

What is the y-intercept of a line?

Back

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

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

What is the solution to the system of equations y = 2x + 1 and y = -x + 4?

Back

(1, 3) - The point where the two lines intersect.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How do you graph the equation y = 1/2x + 2?

Back

Start at (0, 2) on the y-axis, then use the slope of 1/2 to find another point.