Write Equations from Graphs, Tables, Stories

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as 'm' in the equation y = mx + b.

Tags

CCSS.8.EE.B.5

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you write an equation from a graph?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.EE.B.6

CCSS.8.F.A.3

Front

How can you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x (rise/run) between two points.

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, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Tags

CCSS.8.EE.B.5

Front

How do you determine the equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express it in the form of an equation.

Tags

CCSS.6.EE.C.9

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.HSF.LE.B.5

Front

What is the first step in writing an equation from a story problem?

Back

Identify the key quantities and their relationships described in the problem.

Tags

CCSS.HSA.CED.A.1