Writing Equations from Tables

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

How do you determine the equation from a table of values?

Back

Identify the slope and y-intercept from the table, then use the slope-intercept form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does a slope of 5 indicate?

Back

For every 1 unit increase in x, y increases by 5 units.

Tags

CCSS.8.EE.B.5

Front

What is the slope of the line represented by the equation y = 6x?

Back

The slope is 6.

Tags

CCSS.8.EE.B.5

Front

How can you find the constant rate of change from a word problem?

Back

Divide the total change in the dependent variable by the total change in the independent variable.

Tags

CCSS.HSF-LE.A.1B

Front

If a submarine dives 300 feet every 2 minutes, what is its diving rate in feet per minute?

Back

150 feet per minute.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you interpret a graph showing words written per minute?

Back

The slope indicates the rate of words written over time.

Tags

CCSS.HSF.LE.B.5

Front

What is the formula for calculating slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5