Interpret Slope and Y-Int

Front

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

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 of a line, 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

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

What is the y-intercept in the equation y = mx + b?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.

Tags

CCSS.8.EE.B.5

Front

In a real-world context, what does a slope of 2 cm per hour represent?

Back

It represents that for every hour, the quantity increases by 2 cm.

Tags

CCSS.8.EE.B.5

Front

How can you interpret a slope of 1/2 miles driven per dollar?

Back

It means that for every dollar spent, the distance driven is 1/2 mile.

Tags

CCSS.8.EE.B.5