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Writing Linear Equations in Slope-Intercept Form

Writing Linear Equations in Slope-Intercept Form 1.10 - Solution

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To find an equation for Chinquita's using the given information, we are going to write the equation in slope-intercept form

where is the slope and is the -intercept. We know that Chinquita started with This means that after weeks of savings, she had This value represents the -intercept. The second information is that Chinquita saves each week. Thus, the slope is equal to Let's now substitute these two values into the formula to complete the equation.

To graph the equation we'll use the slope and the -intercept.

The -intercept is where the line of the function crosses the -axis. It can be written as the point To find another point on the line we use the slope,

To finish the graph, we'll draw a line trough the points.

To see if Chinquita can afford the fan for after weeks we use the graph. Let's identify the savings after  weeks.

We can see that the amount saved is above Therefore, Chinquita will afford the fan after weeks.