Writing Equations from Tables, Graphs and Situations

Front

What is the unit rate in a graph that shows earnings over time?

Back

The unit rate is the amount earned for each unit of time worked, e.g., $100 earned for each hour worked.

Front

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

Back

The y-intercept is the value of y when x is 0, indicating the starting point of the graph.

Front

Write an equation for the amount of water in a pond after x minutes if 35 liters are added per minute starting with 600 liters.

Back

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x, indicating how much y changes for a unit change in x.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

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

Back

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratio of y to x is constant for all pairs of values.

Front

What does it mean for a graph to be linear?

Back

A linear graph represents a constant rate of change, forming a straight line.

Front

How can you write an equation from a word problem involving constant rates?

Back

Front

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

Back

The slope represents the rate of change, such as speed, cost per item, or growth rate.