Slope and Slope Intercept (Dec. 10)

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, 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

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

Front

What does the slope of a line indicate?

Back

The slope indicates the direction and steepness of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

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

Back

The slope-intercept form is 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, 'm' represents the slope of the line.

Front

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

Back

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

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

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

Front

What is the y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

What is the y-intercept of the equation y = -2x - 5?

Back

The y-intercept is -5.