Application of Lines

Vocabulary

constant of proportionality

coefficient and nonzero constant kk in the direct variation equation y=kxy=kx

dependent variable

variable, typically graphed on the yy-axis, whose values depend on the values of the independent variable

direct variation

relationship between two variables that can be written in the form:
y=kxy=kx

independent variable

variable, typically graphed on the xx-axis, whose values determine the values of the dependent variable

rate of change

ratio that compares the amount of change in the dependent variable to the amount of change in the independent variable

rise

vertical change between two points on a line

run

horizontal change between two points on a line

slope

ratio of the change in yy to the change in xx for two points on a line, represented as:
RiseRun\frac{\text{Rise}}{\text{Run}}

y-intercept

value of yy where a graph touches or crosses the yy-axis