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Chapter 3 Linear Functions (LF)
Objectives
How do we model scenarios that have a constant rate of change?
By the end of this chapter, you should be able to...
Determine the average rate of change of a given function over a given interval. Find the slope of a line.
Determine an equation for a line when given two points on the line and when given the slope and one point on the line. Express these equations in slope-intercept or point-slope form and determine the slope and y-intercept of a line given an equation.
Graph a line given its equation or some combination of characteristics, such as points on the graph, a table of values, the slope, or the intercepts.
Use slope relationships to determine whether two lines are parallel or perpendicular, and find the equation of lines parallel or perpendicular to a given line through a given point.
Build linear models from verbal descriptions, and use the models to establish conclusions, including by contextualizing the meaning of slope and intercept parameters.
Solve a system of two linear equations in two variables.
Solve questions involving applications of systems of equations.
Readiness Assurance. Before beginning this chapter, you should be able to...
Plot points on the coordinate plane.
Evaluate a function at a given value.
Find and plot
\(x\) - and
\(y\) -intercepts.
Define and find reciprocals.
Solve a linear equation for a variable.
