Write Equations from Graphs, Tables, Stories

Front

What is the general form of a linear equation?

Back

The general form of a linear equation 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 do you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) over the run (change in x).

Tags

CCSS.8.EE.B.5

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 where the line crosses the y-axis.

Front

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

Back

The slope represents the rate of change, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

How can you find the equation of a line given a slope and a point?

Back

You can use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is a table of values and how is it used in relation to linear equations?

Back

A table of values lists pairs of x and y values that satisfy a linear equation, helping to visualize the relationship.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you convert a story problem into a linear equation?

Back

Identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the meaning of a slope of zero in a linear equation?

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