Slope Discovery Power Point Activity by C. Hogan
Virginia Department of Education resource titled, "Slope Discovery," which is an activity resource in which the student will determine slope, write the equation in slope-intercept form, and graph a line.
Use this activity to explore forces acting on objects, practice graphing experimental data, and introduce the algebra concepts of slope and intercept of a line. A wooden 2 x 4 beam is set on top of two scales. Students learn how to conduct an experiment by applying loads at different locations along the beam, recording the exact position of the applied load and the reaction forces measured by the scales at each end of the beam. In addition, students analyze the experiment data with the use of a chart and a table, and model/graph linear equations to describe relationships between independent and dependent variables.
In this task, we are given the graph of two lines including the coordinates of the intersection point and the coordinates of the two vertical intercepts, and are asked for the corresponding equations of the lines. It is a very straightforward task that connects graphs and equations and solutions and intersection points. The students will use a VDOE resource to recognize and describe the graph of a linear function (foldables, bingo game, lesson plan for the teacher).