Linear Relationships Retake

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Tags

CCSS.8.EE.B.5

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between two variables. For example, in a financial context, it can represent the amount of money earned per hour worked.

Tags

CCSS.8.EE.B.5

Front

What is 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

How can you write an equation in slope-intercept form from a word problem?

Back

Identify the slope and y-intercept from the context of the problem, then use the slope-intercept form y = mx + b to write the equation.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

The slope indicates how one quantity changes in relation to another, such as speed, cost per item, or growth rate.

Tags

CCSS.8.EE.B.5

Front

How do you identify a table of values that satisfies a linear equation?

Back

Substitute the x-values from the table into the equation and check if the resulting y-values match those in the table.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes; the output remains constant.

Tags

CCSS.8.EE.B.5

Front

What is the formula for calculating the rate of change?

Back

The rate of change can be calculated using the formula (change in y) / (change in x), which is equivalent to the slope of the line.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6