Finding slope from graphs and tables

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) is calculated using the formula: m = \frac{\text{change in y}}{\text{change in x}}.

Tags

CCSS.8.EE.B.5

Front

If the y-values increase by 8 and the x-values increase by 2, what is the slope?

Back

The slope is \frac{8}{2} = 4.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the change in y (rise) and the change in x (run), and use the formula m = \frac{\text{rise}}{\text{run}}.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a line that rises 5 units for every 2 units it runs?

Back

The slope is \frac{5}{2}.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -3, what does this mean?

Back

It means that for every 1 unit increase in x, the y-value decreases by 3 units.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.

Tags

CCSS.8.EE.B.5

Front

How do you interpret a slope of 1?

Back

A slope of 1 means that for every 1 unit increase in x, the y-value also increases by 1 unit.

Tags

CCSS.8.EE.B.5