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...
