Unit 4B Day 2 -- Slope

Front

What is the definition of slope in a graph?

Back

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

Front

How do you determine if a slope is positive, negative, or zero?

Back

A slope is positive if the line rises from left to right, negative if it falls from left to right, and zero if the line is horizontal.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

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

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

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What is the slope of a line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line falls steeply from left to right.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope; they never intersect.

Front

What is the relationship between slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other; if one line has a slope of m, the other will have a slope of -1/m.