Slope (positive)

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in the x-direction, the line rises 2 units in the y-direction, making it relatively steep.

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What variable is commonly used to represent slope in equations?

Back

The variable 'm' is commonly used to represent slope.

Front

How do you find the slope of a line given two points (3, 4) and (7, 10)?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (10 - 4) / (7 - 3) = 6 / 4 = 3/2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change is 0.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line falls as it moves from left to right.

Front

How can you determine the slope from the equation of a line in slope-intercept form (y = mx + b)?

Back

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