Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

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

If a line has a slope of 10, what does this indicate about the relationship between x and y?

Back

A slope of 10 indicates that for every 1 unit increase in x, y increases by 10 units.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in 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

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What does a negative slope indicate about the relationship between x and y?

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 constant of proportionality in a linear equation?

Back

The constant of proportionality is the slope of the line in a proportional relationship, representing the ratio of y to x.

Tags

CCSS.HSF-LE.A.1B

Front

How do you interpret the slope of -1/2?

Back

A slope of -1/2 indicates that for every 2 units increase in x, y decreases by 1 unit.

Tags

CCSS.8.EE.B.5

Front

What is the formula for finding the slope between two points?

Back

The formula for finding the slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5