Interpreting Slope and Y-intercept

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant regardless of the y-value.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

If a car salesman's commission is $425 per car sold, what is the slope of his salary graph?

Back

The slope is $425/car, representing the commission per car sold.

Tags

CCSS.HSF.LE.B.5

Front

What is the equation of a line with a slope of 5 and a y-intercept of 20?

Back

The equation is y = 5x + 20.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Tags

CCSS.8.EE.B.5