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 written as 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 = mx + b?

Back

The y-intercept (b) is the value of y when x = 0. It represents the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Tags

CCSS.8.EE.B.5

Front

What is the equation representing a linear relationship with a starting value of 80 and an increase of 15 each month?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you interpret the slope in a real-world context?

Back

The slope indicates the rate of change in a situation, such as how quickly a quantity increases or decreases.

Tags

CCSS.8.EE.B.5

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 it mean if a line has a negative slope?

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the formula for the slope-intercept equation if m = 3 and b = 6?

Back

The equation is y = 3x + 6.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3