SLope and graphing equations

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 y = mx + b.

Front

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

Back

The 'b' represents the y-intercept, 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

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is a positive slope?

Back

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

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where x does not change, leading to division by zero.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run.

Front

What is the equation of a line with a slope of 3 and a y-intercept of 2?

Back

The equation is y = 3x + 2.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Slope (m) = (6 - 2) / (3 - 1) = 4 / 2 = 2.