Writing Equations from Tables, Graphs and Situations

Front

What is the y-intercept (b) of a linear equation?

Back

The y-intercept (b) is the value of y when x = 0 in the equation of a line, represented as y = mx + b.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change.

Front

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

Back

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

Front

How can you determine if a table of values is proportional?

Back

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

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

How do you write an equation from a graph?

Back

To write an equation from a graph, identify the slope (m) and y-intercept (b) and use the form y = mx + b.

Front

What does a nonproportional graph look like?

Back

A nonproportional graph does not pass through the origin and has varying rates of change.

Front

If $500 is earned for every 8 hours worked, what is the unit rate?

Back

The unit rate is $62.50 per hour.

Front

What is the slope of a line?

Back

The slope of a line (m) is the ratio of the rise (change in y) to the run (change in x), often expressed as m = (y2 - y1) / (x2 - x1).

Front

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

Back

To find the slope from a table, calculate the change in y divided by the change in x between two points.