using the slope -2.3 and the point (80, 878), find a linear model that represents the minimum pressure of a hurricane, y, versus its maximum sustained wind speed, x.

1 answer

To find a linear model that represents the minimum pressure of a hurricane (y) versus its maximum sustained wind speed (x), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point. In this case, the given slope is -2.3 and the given point is (80, 878).

Substituting the values into the equation, we get:

y - 878 = -2.3(x - 80)

Using distributive property, we can simplify the equation:

y - 878 = -2.3x + 184

Rearranging the equation to solve for y, we get:

y = -2.3x + 1062

Therefore, the linear model that represents the minimum pressure of a hurricane (y) versus its maximum sustained wind speed (x) is:

y = -2.3x + 1062