Algebra 1

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, represented as (0, y).

Front

What does the coordinate (0,0) represent?

Back

The coordinate (0,0) represents the origin in a Cartesian coordinate system.

Front

What is the slope of a line?

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What does the variable 'm' represent in the equation of a line?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the equation of a line?

Back

In the equation y = mx + b, 'b' represents the y-intercept of the line.

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

What is the difference between a positive slope and a negative slope?

Back

A positive slope indicates that as x increases, y also increases; a negative slope indicates that as x increases, y decreases.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).