y = mx+b.
m = slope.
b = y-intercept.
A linear function models a constant rate of change, represented by a straight line on a graph.
= slope (rate of change)
b = y-intercept (value of y when x=0)
Linear functions appear in equations, word problems, and data analysis. Understanding slope and y-intercept helps interpret trends, graph lines, and solve for unknowns efficiently.
Linear function.
A constant rate means the quantity changes by the same amount over equal intervals, which creates a linear relationship between variables.
A constant rate is represented by a linear function of the form
where mm is the constant rate of change (slope).
Recognizing constant rates helps identify linear graphs, set up proportions, and solve word problems involving steady growth or decline. It’s a key concept in both algebra and data interpretation.
