Unit 5 Slope & y =mx + b

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by the equation 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

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

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is a zero slope?

Back

A zero slope means that the line is horizontal, indicating that y does not change as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line, where x does not change but y can change.

Front

How do you find 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 equation of a line parallel to y = 2x + 3?

Back

The equation of a line parallel to y = 2x + 3 will have the same slope, so it can be written as y = 2x + b, where b is any value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.