The situation below can be described by the use of linear equations in two variables. If two pairs of values are known, then we can determine the equation by using the approach we used in Example 2 of this section. For the following, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form.

A new diet guideline claims that a person weighing 160 pounds should consume 1880 daily calories and that a 200-pound person should consume 2100 calories. Let y represent the calories and x the weight of the person in pounds.