Analyze Linear Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Tags

CCSS.8.EE.B.5

Front

How do you find 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 the equation of a line in slope-intercept form look like?

Back

The slope-intercept form of a line 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 = 4x + 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 fitness club starts with 80 members and gains 15 members each month, what is the equation representing this situation?

Back

The equation is y = 15x + 80, where y is the total membership and x is the number of months.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

The slope is 2, calculated as (12 - 4) / (6 - 2).

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 initial value in a linear equation?

Back

The initial value is the y-intercept, which represents the starting point of the line on the y-axis.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine if a slope is steep?

Back

A slope is considered steep if its absolute value is greater than 1, indicating a rapid change in y for a change in x.

Tags

CCSS.8.EE.B.5