Intro to Slope

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.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as you move along the line.

Tags

CCSS.8.EE.B.5

Front

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

Back

A slope is positive if it rises from left to right and negative if it falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is the significance of a slope of 1?

Back

A slope of 1 indicates that for every unit increase in the x-direction, there is an equal unit increase in the y-direction, resulting in a 45-degree angle.

Tags

CCSS.8.EE.B.5

Front

How can you express a slope of 2/5 in different forms?

Back

A slope of 2/5 can be expressed as equivalent fractions such as 4/10, 6/15, etc.

Tags

CCSS.8.EE.B.5

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they are parallel and will never intersect.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the vertical change (rise) and horizontal change (run), and use the formula m = rise/run.

Tags

CCSS.8.EE.B.5