Review for test on Topic 2 Linear Equations. We practiced how to write an equation in point-slope form from a graph. Then we practiced writing the equation from two points on the line. Next we practiced how to use the standard form to plot a graph, find the slope, and x, y-intercepts. We reviewed the steps to write and graph linear equations in standard form. We practiced changing from standard form to slope-intercept form.
Assignment: For homework complete assigned problems.

We reviewed finding the equation of a line that is parallel and perpendicular to a given line to prepare for a test on Topic 2.

After a brief review of linear functions, we will begin our study of transformations of functions. We will do vertical and horizontal translations of a linear function. We will do examples of these transformations to show how they change the graph of the function. We will not use technology for this topic, we will draw the graphs by plotting points.

2-4 Parallel and Perpendicular lines – We learned to write equations to represent lines that are parallel and perpendicular to a given line. We graphed lines to show an understanding of the relationship between the slopes of parallel and perpendicular lines. Then we solved real-world problems that involve parallel are perpendicular lines.
Assignment: For homework complete assigned problems.

School was closed due to Tropical Storm Helene

After studying the linear family of equations, we will look at a particular application of this concept. Direct proportions have graphs that are lines, but the lines go through the origin. We can use words like double, triple, quadruple, etc. to describe the relationship of the two quantities involved. Examples will include pay versus hours worked when given an amount per hour of work, force versus acceleration for a given mass, and distance versus time for a constant speed.

The family of linear functions will be our topic for today. We will do examples of graphs and relate graphs to each other in terms of the slope and y-intercept. We will look at slope in terms of the grace of a road and the pitch of a roof. We will also use linear functions to relate distance, speed and time.

2-3 Standard Form – We learned to write and graph linear equations in standard form. We discovered that the standard form of a linear equation is helpful for identifying the x- and y-intercepts. These are used to graph the line and aid in understanding the constraints within a real-world context.
Assignment: For homework complete assigned problems.
Standard Form is useful because a lot of times it's helpful to find the x and y intercepts. It also gets to be useful once you start studying quadratics which is when you have x squared. However most of the time people like to use equations that are either in point-slope form or slope-intercept form.

We will study linear functions by using the rule of four. Numerical tables, graphs, equations, and properties will be discussed. Finding the equation of a line from given information will be the main objective for today. We will be using the slope-intercept form of the equation in most examples. The point-slope form will also be used as needed to write a liner equation.

We reviewed the point-slope form of a line. We went over the homework graphing a line from point-slope form and determining the equation from interpreting a graph.