Learning goals: Teacher Facing Analyze how the numbers in an equation $ax+by=c$ are reflected on its graph and are related to the rate of change in the relationship. Graph linear equations of the form $ax+by=c$ and interpret points on the graph in context. Understand that different forms of a linear equation can give different insights about the relationship it represents and about the graph. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.2 Linear Equations, Inequalities, and Systems, Algebra 1.