Question

part 3 of 6
(b) write an equation of the line through the given points. write the equation in slope - intercept form, round numbers to two decimal places, if necessary.
the linear model in slope - intercept form is y = 0.2x - 10
part 4 of 6
(c) use the equation from part (b) to estimate the wind chill for a wind speed of 40 mph. write your answer as a decimal and round to the nearest tenth.
the wind chill for a wind speed of 40 mph will be approximately - 18°f.
part 5 of 6
(d) use the equation from part (b) to estimate the wind chill for a wind speed of 45 mph. write your answer as a decimal and round to the nearest tenth.
the wind chill for a wind speed of 45 mph will be approximately - 19°f.
part 6 of 6
(e) what is the slope of the line and what does it mean in the context of this problem?
the slope is
the slope means that wind chill select at a rate of °f for every 1 mph select in wind speed.

Explanation:

Step1: Identify the slope - intercept form

The equation of the line from part (b) is $y = 0.2x-10$. In the slope - intercept form $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. Here, the slope $m = 0.2$.

Step2: Interpret the slope in context

The slope represents the rate of change. In the context of wind - chill and wind speed, $x$ is the wind speed in mph and $y$ is the wind - chill in $^{\circ}F$. The slope of $0.2$ means that the wind - chill increases at a rate of $0.2^{\circ}F$ for every 1 mph increase in wind speed.

Answer:

The slope is $0.2$. The slope means that wind chill increases at a rate of $0.2^{\circ}F$ for every 1 mph increase in wind speed.