Writing Equations from Tables, Graphs and Situations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

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 ratio between y and x.

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 in a proportional relationship.

Front

What does the equation y=mx+b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is a nonproportional relationship?

Back

A nonproportional relationship does not have a constant ratio between y and x and does not pass through the origin.

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.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x=0, representing where the line crosses the y-axis.

Front

How do you write an equation for a line given two points?

Back

First, calculate the slope using the two points, then use one point to find the y-intercept and write the equation.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the graph of the relationship is a straight line.