Interpreting Slope-Intercept Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does the y-intercept represent in a linear equation?

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

In the equation y = -6x + 40, what does the slope of -6 indicate?

Back

The slope of -6 indicates that for every 1 unit increase in x, y decreases by 6 units.

Tags

CCSS.HSF.LE.B.5

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases.

Tags

CCSS.8.EE.B.5

Front

In the equation y = 0.75x + 2.25, what does the slope of 0.75 represent?

Back

The slope of 0.75 represents the increase in cost per mile when riding in a cab.

Tags

CCSS.HSF.LE.B.5

Front

What is the meaning of the slope in a real-world context?

Back

The slope represents the rate of change between two variables in a real-world scenario.

Tags

CCSS.8.EE.B.5

Front

How do you interpret the y-intercept in a real-world scenario?

Back

The y-intercept represents the initial value or starting point before any changes occur.

Tags

CCSS.HSF.LE.B.5

Front

What does the slope of 5 eggs for every 2 cakes mean?

Back

It means that for every 2 cakes made, 5 eggs are used.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of the initial value in a linear equation?

Back

The initial value indicates the starting point of the relationship before any changes are made.

Tags

CCSS.8.EE.B.5