slope intercept

Front

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

Back

The slope-intercept form 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 does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you determine the slope from a graph?

Back

The slope is determined by the ratio of the rise (vertical change) to the run (horizontal change) between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal and does not rise or fall.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables, such as speed, cost, or growth.

Tags

CCSS.8.EE.B.5

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (horizontal change) is zero.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero because there is no vertical change.

Tags

CCSS.8.EE.B.5