1.Give 3 real-world examples where something is increasing at a constant rate or decreasing at a constant rate. The starting amount would be the y-intercept, "b", and the rate at which it increases would be the slope, "m". Give the equation of the lines for your examples using y = mx + b with your "m" and "b".
2. Why do we have to shade the region above the line for y > mx +b or y > mx + b, and shade below the line for y < mx + b or y < mx + b? Why can't the answer for these linear inequalities be simply the line y = mx + b? Why do we have to do all the shading?
This provides several examples of real-world examples modeled by linear equations, and explains the shading method for linear inequalities.