Many of the following problems can be modeled with a linear equation. Analyze them and identify what quantities the variables x and y represent. The information provided in the problems is adequate to determine a point and a slope or two points on the line.
The slope of a line is the amount of change in y when x increases by 1 unit. For y = 3x + 7, y increases by 3 when x increases by 1. For y = –2x + 4, y decreases by 2 when x increases by 1. (The negative value indicates a decrease in y.) Find the change in y when x increases by 1:
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