Front

What does the variable 'm' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The variable 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does the variable 'b' represent in the slope-intercept form of a linear equation (y = mx + b)?

Back

The variable 'b' represents the y-intercept of the line, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal and does not rise or fall as x changes.

Front

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

Back

The slope of the line is -2.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What is the equation of a line with a slope of 3 that passes through the point (1, 2)?

Back

The equation of the line is y = 3x - 1.