Linear Equations #1

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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

Back

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

Front

What is the y-intercept of the line y = 3?

Back

The y-intercept is 3, meaning the line crosses the y-axis at the point (0, 3).

Front

What is the equation of a horizontal line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the equation of a vertical line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -5/3, what does this indicate about the line's direction?

Back

A slope of -5/3 indicates that the line is decreasing; for every 3 units moved to the right, the line moves down 5 units.

Front

How do you determine if a line has a positive slope?

Back

A line has a positive slope if it rises from left to right.