Matching graphs and equations

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you determine if a graph represents a linear equation?

Back

A graph represents a linear equation if it forms a straight line.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is in the form x = a, where a is a constant.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is in the form y = b, where b is a constant.

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines are parallel?

Back

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