Write Equations from Graphs, Tables, Stories

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the slope from a graph?

Back

The slope is the rise over run, calculated as (change in y) / (change in x).

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the value of y when x is 0, often indicating a starting point or initial value.

Tags

CCSS.HSF.LE.B.5

Front

What is the rate of change in a linear equation?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

How can you write an 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 1 tile per minute mean?

Back

It means for every minute that passes, 1 tile is added or produced.

Tags

CCSS.8.EE.B.5

Front

If a pizza costs $15 with no toppings, what is the y-intercept in the equation?

Back

The y-intercept is 15, representing the cost of the pizza without any toppings.

Tags

CCSS.HSF.LE.B.5

Front

How do you determine the slope from two points on a line?

Back

Use the formula: slope (m) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a slope of 7.50 dollars per hour indicate?

Back

It indicates that for every hour, the cost increases by $7.50.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

The slope indicates the rate of change, such as speed, cost per item, or production rate.

Tags

CCSS.8.EE.B.5