Thursday Week 14 Warm Up Review

Front

What is the definition of slope in mathematics?

Back

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

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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down and does not have a defined angle.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

Given the points (-4, 3) and (-4, -7), what is the slope?

Back

Undefined.

Front

Given the points (x, 2) and (7, 8) with a slope of 1, what is the missing coordinate x?

Back

1.

Front

What is the slope of the line that passes through the points (1, 3) and (4, 6)?

Back

The slope is 1, calculated as (6 - 3) / (4 - 1).

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

How do you interpret a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of the line that passes through the points (-1, -9) and (5, -6)?

Back

1/2.