Learning goals: Teacher Facing Determine the slope and vertical intercept of the graphs of linear equations by making use of structure or by rearranging the equations. Given an equation of the form $ax+by=c$, write an equivalent equation of the form $y=mx+b$. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.2 Linear Equations, Inequalities, and Systems, Algebra 1.