Slope & Slope Intercept

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 rise (vertical change) to the run (horizontal change).

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope-intercept form of a linear equation is 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

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal and there is no vertical change as x changes.

Tags

CCSS.8.EE.B.5

Front

If a line has an undefined slope, what does this indicate?

Back

An undefined slope indicates a vertical line, where x remains constant and there is no horizontal change.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then use the slope formula m = rise/run.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = -x + 5?

Back

The slope of the line is -1.

Tags

CCSS.8.EE.B.5