Questions: The data in the graph show the wind speed y (in mph) for a recent hurricane versus the barometric pressure x (in millibars, mb). Wind Speed vs. Barometric Pressure Part: 0 / 4 Part 1 of 4 (a) Use the points (950,130) and (1000,70) to write a linear model for these data. y =

Solution Steps

The given points are (950, 130) and (1000, 70).

The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$

Substitute the given points: $$m = \frac{70 - 130}{1000 - 950} = \frac{-60}{50} = -1.2$$

The point-slope form of a line is: $$y - y_1 = m(x - x_1)$$

Using the point (950, 130) and the slope $m = -1.2$: $$y - 130 = -1.2(x - 950)$$

Solve for $y$: $$y - 130 = -1.2x + 1140$$ $$y = -1.2x + 1140 + 130$$ $$y = -1.2x + 1270$$

Final Answer