Question

Wren recorded an outside temperature of â€"2°F at 8 a. M. When she checked the temperature again, it was 4°F at 12:00 p. M. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points? â€"1. 5 â€"0. 5 0. 5 1. 5.

Answer 1

The slope of the line is the rate of change of the line that passes through the given points.

The slope of the line through these two data points is 1.5

Let x represent time, and y represent the temperature.

So, the points are given as:

$(x,y) = \{(8,-2)\ (12,4)\}$

The slope (m) is then calculated using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

This gives

$m = \frac{4--2}{12 -8}$

Simplify the numerator

$m = \frac{4+2}{12 -8}$

Evaluate like terms

$m = \frac{6}{4}$

Divide

$m = 1.5$

Hence, the slope is 1.5

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