8th Grade Slope _ Unit 3 Lesson 10

Front

What is the definition of slope in mathematics?

Back

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

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of a line that rises 5 units for every 2 units it runs?

Back

The slope is 5/2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -1/4, what does this tell you about the line's direction?

Back

The line descends from left to right, indicating a negative relationship between x and y.

Front

How do you find the slope of a line given two points (1, 4) and (5, 9)?

Back

Use the formula: m = (y2 - y1) / (x2 - x1) = (9 - 4) / (5 - 1) = 5/4.

Front

What is the slope of a line that passes through the points (0, 1) and (2, 6)?

Back

The slope is m = (6 - 1) / (2 - 0) = 5/2.