Writing Equations from Tables, Graphs and Situations

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.

Front

How do you determine if a graph is proportional?

Back

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

Front

What does it mean for a relationship to be nonproportional?

Back

A nonproportional relationship does not have a constant rate of change and does not pass through the origin.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line y = -x + 2?

Back

The y-intercept is 2.

Front

If a table shows values that double, is it proportional or nonproportional?

Back

It is proportional.

Front

What is the slope of the line that passes through the points (0, 10) and (6, 34)?

Back

The slope is 4.

Front

What does the term 'rate of change' refer to in a graph?

Back

Rate of change refers to how much the y-value changes for a given change in the x-value.

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.

Front

What is the significance of the point (0, b) in a linear equation?

Back

It represents the y-intercept of the line.