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Interpret the slope and y-intercept

samara is driving down a mountain. her elevation. y (in feet), is represented by y= -35x+ 5450, where x is the minutes since she stared driving.

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Final answer:

The slope of -35 in the equation denotes that for every minute Samara drives down the mountain, her elevation decreases by 35 feet. The y-intercept of 5450 shows that her starting elevation is 5450 feet above sea level.

Step-by-step explanation:

The equation y = -35x + 5450 represents Samara's elevation (in feet) as she drives down a mountain. Here, 'y' is the elevation above sea level, and 'x' is the number of minutes since she started driving down the mountain. In this linear equation, the slope is -35, and the y-intercept is 5450.

The slope of -35 indicates the rate at which Samara's elevation decreases. Specifically, for every one minute of driving, her elevation decreases by 35 feet. The negative sign of the slope signifies a downward movement. The y-intercept of 5450 is the elevation at which Samara started her descent; in other words, when x = 0 (before she starts driving), her elevation is 5450 feet.

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