Answer :
Step 1
The slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.
The slope is given as;
[tex]m=\frac{rise}{\text{run}}=\frac{y_2-y_1}{x_2-x_1}[/tex]Step 2
From 7:30 a.m to 7:32a.m the temperature change each minute will be;
[tex]\begin{gathered} y_2=45 \\ y_1=-4 \\ x_1=0 \\ x_2=2 \end{gathered}[/tex][tex]\begin{gathered} m=\frac{45-(-4)}{2-0} \\ m=\frac{45+4}{2}=\frac{49}{2}=24.5 \end{gathered}[/tex]Therefore, between, 7:30 a.m to 7:32a.m the temperature change each minute is 24.5 per minute