Interpreting Slope and Y-intercept

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The slope indicates how much the dependent variable changes for each unit increase in the independent variable.

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 = 0.

Front

How can you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does a positive slope indicate about a relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Tags

CCSS.8.EE.B.5

Front

If the slope of a line is zero, what does that mean?

Back

A slope of zero means that the line is horizontal, indicating no change in the dependent variable as the independent variable changes.

Tags

CCSS.8.EE.B.5

Front

What does it mean if the y-intercept is a positive value?

Back

A positive y-intercept means that the dependent variable has a starting value greater than zero when the independent variable is zero.

Tags

CCSS.HSF.LE.B.5