Writing Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by 'b' in the equation y = mx + b.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation of the line is y = -1x + 4.

Front

What does it mean if the slope of a line is positive?

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope means that as x increases, y decreases, indicating a downward trend.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How can you determine if two lines are perpendicular?

Back

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