Slope & Rate of Change- Literal

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 do you calculate 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 a positive slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope of the line, representing how much y changes for a unit change in x.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How can you determine if two lines have the same rate of change?

Back

Two lines have the same rate of change if they have the same slope.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

If a candle burns from 10 inches to 4 inches in 3 hours, what is the rate of change?

Back

The rate of change is 2 inches per hour, calculated as (10 - 4) / 3.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the equation of a line with a slope of 4 and a y-intercept of 3?

Back

The equation is y = 4x + 3.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3