Question

Wren recorded an outside temperature of –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? Answer choices 0.5 -0.5 1.5 -1.5

Answer 1

Answer:

1.5

Step-by-step explanation:

We are given two points. Let the points be A and B

A ( 8 , -2 ) ------> ( x1 , y1 )

B ( 12 , 4 ) ------> ( x2 , y2 )

Now, let's find the slope of the given points:

$slope \: = \frac{y2 - y1}{x2 - x1}$

plug the values

$= \frac{4 - ( -2)}{12 - 8}$

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

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

Subtract the numbers

$= \frac{4 + 2}{4}$

Add the numbers

$= \frac{6}{4}$

Reduce the fraction with 2

$= \frac{3}{2}$

$= 1.5$

Hope this helps..

Best regards!!

Answer 2

Answer:

$\boxed{1.5}$

Step-by-step explanation:

First point is given (8, -2)

                               (x₁, y₁)

Second point is given (12, 4)

                                     (x₂, y₂)

Apply the slope formula.

$slope=\frac{rise}{run}$

$slope=\frac{change \: in \: y}{change \: in \: x}$

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

$slope=\frac{4-(-2)}{12-8}$

$slope=\frac{6}{4}=1.5$